{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "主成分分析（Principal Component Analysis，PCA）是一种多变量统计方法，它是最常用的降维方法之一，通过正交变换将一组可能存在相关性的变量数据转换为一组线性不相关的变量，转换后的变量被称为主成分。\n",
    "\n",
    "可以使用两种方法进行 PCA，分别是特征分解或奇异值分解（SVD）。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[PCA （主成分分析）详解 （写给初学者）](https://blog.csdn.net/a8039974/article/details/81285238)  \n",
    "[主成分分析（PCA）原理详解](https://blog.csdn.net/program_developer/article/details/80632779)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 先从协方差说起"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "协方差$$cov(X,Y)=\\frac{\\sum_{i=1}^n{(X_i-\\bar{X})(Y_i-\\bar{Y})}}{n-1}$$\n",
    "\n",
    "协方差其意义：\n",
    "度量各个维度偏离其均值的程度。协方差的值如果为正值，则说明两者是正相关的(从协方差可以引出“相关系数”的定义)，结果为负值就说明负相关的，如果为0，也是就是统计上说的“相互独立”。\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "协方差矩阵：  \n",
    "$$C = \\begin{pmatrix}\n",
    "    cov(x,x) &cov(x,y)  & cov(x,z) \\\\\n",
    "   cov(y,x)  & cov(y,y) &  cov(y,z) \\\\\n",
    "   cov(z,x)  & cov(z,y) &cov(z,z)   \\\\\n",
    "\\end{pmatrix}\\qquad$$  \n",
    "从协方差矩阵上，可以得到变量之间两两的相关性"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-16T12:37:51.830870Z",
     "start_time": "2019-12-16T12:37:51.604096Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "#设置一下np的输出格式\n",
    "np.set_printoptions(threshold=100,precision= 4,suppress=True)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-16T12:37:52.323145Z",
     "start_time": "2019-12-16T12:37:52.301233Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[5.9393, 4.8841],\n",
       "       [6.4249, 4.4091],\n",
       "       [4.8129, 2.2524],\n",
       "       [4.9383, 3.5913],\n",
       "       [9.673 , 3.3096],\n",
       "       [8.1255, 4.6224],\n",
       "       [6.1124, 1.6296],\n",
       "       [1.6393, 2.5983],\n",
       "       [1.182 , 0.6784],\n",
       "       [8.0034, 3.6604]])"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 计算以下数据的协方差矩阵\n",
    "import numpy as np\n",
    "np.random.seed(0)\n",
    "data = np.random.uniform(1,10,(10,2))\n",
    "data[:,1:] = 0.5*data[:,0:1]+np.random.uniform(-2,2,(10,1))\n",
    "data\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "必须去中心化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-16T12:37:54.514285Z",
     "start_time": "2019-12-16T12:37:54.508335Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.2542,  1.7206],\n",
       "       [ 0.7398,  1.2455],\n",
       "       [-0.8722, -0.9112],\n",
       "       [-0.7468,  0.4277],\n",
       "       [ 3.9879,  0.146 ],\n",
       "       [ 2.4404,  1.4589],\n",
       "       [ 0.4273, -1.5339],\n",
       "       [-4.0458, -0.5652],\n",
       "       [-4.5031, -2.4852],\n",
       "       [ 2.3183,  0.4968]])"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_norm = data-data.mean(axis = 0)\n",
    "data_norm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-16T12:37:55.189482Z",
     "start_time": "2019-12-16T12:37:55.181529Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([ 0.2542,  0.7398, -0.8722, -0.7468,  3.9879,  2.4404,  0.4273,\n",
       "        -4.0458, -4.5031,  2.3183]),\n",
       " array([ 1.7206,  1.2455, -0.9112,  0.4277,  0.146 ,  1.4589, -1.5339,\n",
       "        -0.5652, -2.4852,  0.4968]))"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X = data_norm[:,0]\n",
    "Y = data_norm[:,1]\n",
    "X,Y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-16T12:37:55.799853Z",
     "start_time": "2019-12-16T12:37:55.793859Z"
    }
   },
   "outputs": [],
   "source": [
    "# 定义一个函数，输入X，Y能得到X，Y之间的协方差\n",
    "def getcov(X,Y):\n",
    "\n",
    "    covxy = ((X-X.mean())*(Y-Y.mean())).sum()/(len(X)-1)\n",
    "\n",
    "    return covxy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-16T12:37:56.496016Z",
     "start_time": "2019-12-16T12:37:56.489031Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7.332530886964573"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "getcov(X,X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "numpy自带了协方差矩阵的计算方法，验证一下"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-16T12:37:57.545204Z",
     "start_time": "2019-12-16T12:37:57.476361Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[7.3325, 2.2168],\n",
       "       [2.2168, 1.8633]])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "C = np.cov(data_norm.T)\n",
    "C"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 计算协方差矩阵的特征向量和特征值"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "由矩阵特征值特征向量的定义：\n",
    "$$Cv=\\lambda v$$\n",
    "其中，$λ$是特征向量$v$对应的特征值，一个矩阵的一组特征向量是一组正交向量。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "特征值分解矩阵\n",
    "\n",
    "对于矩阵$C$，有一组特征向量$V$，将这组向量进行正交化单位化，就能得到一组正交单位向量。特征值分解，就是将矩阵$C$分解为如下式：\n",
    "\n",
    "$$C=Q\\Sigma Q^{-1}$$\n",
    "\n",
    "其中，$Q$是矩阵$C$的特征向量组成的矩阵，$\\Sigma$则是一个对角阵，对角线上的元素就是特征值。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-16T12:37:59.454098Z",
     "start_time": "2019-12-16T12:37:59.425178Z"
    }
   },
   "outputs": [],
   "source": [
    "#计算特征值和特征向量\n",
    "vals, vecs = np.linalg.eig(C)\n",
    "#重新排序，从大到小\n",
    "vecs = vecs[:,np.argsort(-vals)]\n",
    "vals = vals[np.argsort(-vals)]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-16T12:38:00.160511Z",
     "start_time": "2019-12-16T12:38:00.153529Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(8.118170385604765, array([0.9426, 0.334 ]))"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#第一个特征值对应的特征向量\n",
    "vals[0],vecs[:,0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-16T12:38:00.710008Z",
     "start_time": "2019-12-16T12:38:00.702029Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1.0776889576956008, array([-0.334 ,  0.9426]))"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#第二个特征值对应的特征向量\n",
    "vals[1],vecs[:,1]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这时候，相当于已经在数据中定义了两个轴，第一个轴的方向是第一个特征向量$v_1$，第二个轴的方向是第二个特征向量$v_2$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-16T12:38:06.555409Z",
     "start_time": "2019-12-16T12:38:06.365913Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "#设置图大小\n",
    "size = 15\n",
    "\n",
    "plt.figure(1,(8,8))\n",
    "\n",
    "plt.scatter(data[:,0],data[:,1],label='origin data')\n",
    "\n",
    "i=0\n",
    "ev = np.array([vecs[:,i]*-1,vecs[:,i]])*size\n",
    "ev = (ev+data.mean(0))\n",
    "plt.plot(ev[:,0],ev[:,1],label = 'eigen vector '+str(i+1))\n",
    "\n",
    "i=1\n",
    "ev = np.array([vecs[:,i]*-1,vecs[:,i]])*size\n",
    "ev = (ev+data.mean(0))\n",
    "plt.plot(ev[:,0],ev[:,1],label = 'eigen vector '+str(i+1))\n",
    "\n",
    "#plt.plot(vecs[:,1]*-10,vecs[:,1]*10)\n",
    "\n",
    "#画一下x轴y轴\n",
    "plt.plot([-size,size],[0,0],c='black')\n",
    "plt.plot([0,0],[-size,size],c='black')\n",
    "plt.xlim(-size,size)\n",
    "plt.ylim(-size,size)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-26T02:32:47.162754Z",
     "start_time": "2019-09-26T02:32:47.155803Z"
    }
   },
   "source": [
    "如果用PCA把$m$个维度的数据降维成$k$个维度，即只用前$k$个主成分来表示，那么数据在主成分上的投影坐标是\n",
    "$$Y_{n*k} = X_{n*m}Q_{m*k}$$\n",
    "$Q$为特征向量组成的矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-28T07:49:29.765196Z",
     "start_time": "2019-09-28T07:49:29.758212Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0.8144],\n",
       "       [-1.1133],\n",
       "       [ 1.1265],\n",
       "       [ 0.561 ],\n",
       "       [-3.8076],\n",
       "       [-2.7876],\n",
       "       [ 0.1097],\n",
       "       [ 4.0022],\n",
       "       [ 5.0746],\n",
       "       [-2.3511]])"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#数据在主成分1上的投影坐标是Y\n",
    "k=1\n",
    "Q = vecs[:,:k]\n",
    "Y = np.matmul(data_norm,Q)\n",
    "Y"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这个时候我们相当于只需要存储**前k个主成分的特征向量$Q_{m*k}$**和**数据在前k个主成分上的投影坐标$Y_{n*k}$**，就可以还原数据\n",
    "$$Y_{n*k}{Q_{m*k}}^T=X_{n*m}$$\n",
    "其中，由于$Q$已经正交化，${Q_{m*k}}^T{Q_{m*k}}=I_{k*k}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-28T07:49:37.877532Z",
     "start_time": "2019-09-28T07:49:37.871519Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.7676,  0.272 ],\n",
       "       [ 1.0494,  0.3719],\n",
       "       [-1.0618, -0.3763],\n",
       "       [-0.5288, -0.1874],\n",
       "       [ 3.5888,  1.2719],\n",
       "       [ 2.6275,  0.9312],\n",
       "       [-0.1034, -0.0366],\n",
       "       [-3.7723, -1.3369],\n",
       "       [-4.7831, -1.6952],\n",
       "       [ 2.216 ,  0.7854]])"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#得到去中心化的还原数据\n",
    "np.matmul(Y,Q.T)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-28T07:49:49.490889Z",
     "start_time": "2019-09-28T07:49:49.482910Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[6.4527, 3.4356],\n",
       "       [6.7345, 3.5355],\n",
       "       [4.6233, 2.7873],\n",
       "       [5.1563, 2.9761],\n",
       "       [9.2739, 4.4355],\n",
       "       [8.3125, 4.0947],\n",
       "       [5.5817, 3.1269],\n",
       "       [1.9128, 1.8266],\n",
       "       [0.902 , 1.4684],\n",
       "       [7.9011, 3.9489]])"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#加上均值，还原数据\n",
    "data_ = np.matmul(Y,Q.T)+data.mean(0)\n",
    "data_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 降维重构的数据与原数据对比"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 用我们刚刚的方法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-28T07:37:39.427597Z",
     "start_time": "2019-09-28T07:37:39.248080Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "import matplotlib.pyplot as plt\n",
    "#设置图大小\n",
    "size = 10\n",
    "\n",
    "plt.figure(1,(8,8))\n",
    "\n",
    "plt.scatter(data[:,0],data[:,1],label='origin data')\n",
    "\n",
    "plt.scatter(data_[:,0],data_[:,1],label='restructured data')\n",
    "\n",
    "i=0\n",
    "ev = np.array([vecs[:,i]*-1,vecs[:,i]])*size\n",
    "ev = (ev+data.mean(0))\n",
    "plt.plot(ev[:,0],ev[:,1],label = 'eigen vector '+str(i+1))\n",
    "\n",
    "i=1\n",
    "ev = np.array([vecs[:,i]*-1,vecs[:,i]])*size\n",
    "ev = (ev+data.mean(0))\n",
    "plt.plot(ev[:,0],ev[:,1],label = 'eigen vector '+str(i+1))\n",
    "\n",
    "#plt.plot(vecs[:,1]*-10,vecs[:,1]*10)\n",
    "\n",
    "#画一下x轴y轴\n",
    "plt.plot([-size,size],[0,0],c='black')\n",
    "plt.plot([0,0],[-size,size],c='black')\n",
    "plt.xlim(-size,size)\n",
    "plt.ylim(-size,size)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 用sklearn的PCA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-28T07:01:58.926896Z",
     "start_time": "2019-09-28T07:01:58.656028Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "#sklearn PCA\n",
    "from sklearn.decomposition import PCA\n",
    "pca = PCA(n_components=2) \n",
    "pca.fit(data)\n",
    "Y = pca.fit_transform(data)\n",
    "vecs = pca.components_.T\n",
    "data_ = np.dot(Y[:,:1],vecs[:,:1].T)+data.mean(0)\n",
    "\n",
    "\n",
    "#设置图大小\n",
    "size = 10\n",
    "\n",
    "plt.figure(1,(8,8))\n",
    "\n",
    "plt.scatter(data[:,0],data[:,1],label='origin data')\n",
    "\n",
    "plt.scatter(data_[:,0],data_[:,1],label='restructured data')\n",
    "\n",
    "i=0\n",
    "ev = np.array([vecs[:,i]*-1,vecs[:,i]])*size\n",
    "ev = (ev+data.mean(0))\n",
    "plt.plot(ev[:,0],ev[:,1],label = 'eigen vector '+str(i+1))\n",
    "\n",
    "i=1\n",
    "ev = np.array([vecs[:,i]*-1,vecs[:,i]])*size\n",
    "ev = (ev+data.mean(0))\n",
    "plt.plot(ev[:,0],ev[:,1],label = 'eigen vector '+str(i+1))\n",
    "\n",
    "#plt.plot(vecs[:,1]*-10,vecs[:,1]*10)\n",
    "\n",
    "#画一下x轴y轴\n",
    "plt.plot([-size,size],[0,0],c='black')\n",
    "plt.plot([0,0],[-size,size],c='black')\n",
    "plt.xlim(-size,size)\n",
    "plt.ylim(-size,size)\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 用SVD"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-28T07:51:59.367754Z",
     "start_time": "2019-09-28T07:51:59.361775Z"
    }
   },
   "outputs": [],
   "source": [
    "#用SVD主要是想用SVD求出主成分的方向向量\n",
    "U,vals,V = np.linalg.svd(data_norm)\n",
    "vecs = V.T\n",
    "\n",
    "#数据在主成分1上的投影坐标是Y\n",
    "Y = np.matmul(data_norm,vecs[:,:1])\n",
    "#得到去中心化的还原数据\n",
    "data_ = np.matmul(Y,vecs[:,:1].T)+data.mean(0)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-28T07:52:01.356474Z",
     "start_time": "2019-09-28T07:52:01.209832Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#画图\n",
    "import matplotlib.pyplot as plt\n",
    "#设置图大小\n",
    "size = 10\n",
    "\n",
    "plt.figure(1,(8,8))\n",
    "\n",
    "plt.scatter(data[:,0],data[:,1],label='origin data')\n",
    "\n",
    "plt.scatter(data_[:,0],data_[:,1],label='restructured data')\n",
    "\n",
    "#绘制主成分的向量\n",
    "i=0\n",
    "ev = np.array([vecs[:,i]*-1,vecs[:,i]])*size\n",
    "ev = (ev+data.mean(0))\n",
    "plt.plot(ev[:,0],ev[:,1],label = 'eigen vector '+str(i+1))\n",
    "\n",
    "i=1\n",
    "ev = np.array([vecs[:,i]*-1,vecs[:,i]])*size\n",
    "ev = (ev+data.mean(0))\n",
    "plt.plot(ev[:,0],ev[:,1],label = 'eigen vector '+str(i+1))\n",
    "\n",
    "#plt.plot(vecs[:,1]*-10,vecs[:,1]*10)\n",
    "\n",
    "#画一下x轴y轴\n",
    "plt.plot([-size,size],[0,0],c='black')\n",
    "plt.plot([0,0],[-size,size],c='black')\n",
    "plt.xlim(-size,size)\n",
    "plt.ylim(-size,size)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 三维数据的测试"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-28T07:52:07.468091Z",
     "start_time": "2019-09-28T07:52:07.461115Z"
    }
   },
   "outputs": [],
   "source": [
    "# 计算以下数据的协方差矩阵\n",
    "import numpy as np\n",
    "np.random.seed(0)\n",
    "data = np.random.uniform(-10,10,(20,3))\n",
    "data[:,1:] = 0.5*data[:,0:1]+np.random.uniform(-2,2,(20,1))\n",
    "data[:,2:] = 0.5*data[:,0:1]+np.random.uniform(-3,3,(20,1))\n",
    "\n",
    "\n",
    "data_normal = data-data.mean(0)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-28T07:52:07.955787Z",
     "start_time": "2019-09-28T07:52:07.936843Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([34.5686,  2.4069,  1.2623]), array([[-0.7952, -0.2741, -0.5409],\n",
       "        [-0.3904, -0.4512,  0.8025],\n",
       "        [-0.464 ,  0.8493,  0.2518]]))"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "C = np.cov(data_normal.T)\n",
    "\n",
    "#计算特征值和特征向量\n",
    "vals, vecs = np.linalg.eig(C)\n",
    "#重新排序，从大到小\n",
    "vecs = vecs[:,np.argsort(-vals)]\n",
    "vals = vals[np.argsort(-vals)]\n",
    "\n",
    "vals,vecs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-28T07:52:14.218084Z",
     "start_time": "2019-09-28T07:52:08.497344Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABMMAAAMsCAYAAABZXGXiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAmcgAAJnIBISuX7gAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzs3XmMJGd9PvCn73O2d+57pqtnd+312tiLsQ2LEiwjEoiIAhjhQDA4UkKIBQIUKxJIkBCSKFIE4ScUxTjhikz4w4RTAQKJTcAEsrZ3zXrX9npmunru+57pnpk+6vfH6K2tru6eqe7po6rr+UirnZm+3uqz6unv+30diqKAiIiIiIiIiIjIDpyNHgAREREREREREVG9MAwjIiIiIiIiIiLbYBhGRERERERERES2wTCMiIiIiIiIiIhsg2EYERERERERERHZBsMwIiIiIiIiIiKyDYZhRERERERERERkGwzDiIiIiIiIiIjINhiGERERERERERGRbTAMIyIiIiIiIiIi22AYRkREREREREREtsEwjIiIiIiIiIiIbINhGBERERERERER2QbDMCIiIiIiIiIisg2GYUREREREREREZBsMw4iIiIiIiIiIyDYYhhERERERERERkW0wDCMiIiIiIiIiIttgGEZERERERERERLbBMIyIiIiIiIiIiGyDYRgREREREREREdkGwzAiIiIiIiIiIrINhmFERERERERERGQbDMOIiIiIiIiIiMg2GIYREREREREREZFtMAwjIiIiIiIiIiLbYBhGRERERERERES2wTCMiIiIiIiIiIhsw92g21UadLtERERERERERGQujnreGCvDiIiIiIiIiIjINhiGERERERERERGRbTAMIyIiIiIiIiIi22AYRkREREREREREtsEwjIiIiIiIiIiIbINhGBERERERERER2QbDMCIiIiIiIiIisg13owdAREREZAfT09O4cuUKJicnsbGxgUwmgxMnTqC1tRWxWAznz59HIBBo9DCJiIiImh7DMCIiImp60WgUExMTh57H6XQiEong5MmTOHv2LO666y7cf//9uO222yq+3RdffBGPPfYYvv3tb2NycvLQ87pcLtxxxx144IEH8O53vxsDAwMV3+7GxgZ6e3uRSqXUvwWDQczNzeHEiRMVXy8RERFRM3AoitKI223IjRIREZE9GQnDSvnN3/xNPProozh79qzhy0xNTeGRRx7BE088gUr2tZxOJx588EF8+tOfxvDwcNmXf/TRR/Gnf/qnRf/+J3/yJ2VfHxEREVGNOep6YwzDiIiIqNkdJwwDAL/fj2984xt429veduR5v//97+N973sf1tfXi17PuXPn0NnZiba2NqytrWF+fh5jY2PY2toqOL/P58Pu7m7Z473rrrvw7LPPFv37xYsXy74+IiIiohpjGEZERERUTfow7Bvf+AZe+9rX5p0nm81iZWUFly5dwte+9jX86le/yjvd7/fj5z//OV7zmteUvJ3HH38cDz30ELLZbN7f3/rWt+Lhhx/GvffeW7QvWDqdxs9+9jN85zvfwZe+9KW86Y3l7qtduXIFt99++6GnH2fqJxEREVEN1DUM42qSREREZDs9PT2IRqN5/0ZGRnD33Xfjgx/8IH75y1/iC1/4AhyOG/tlu7u7+NjHPlbyOp999ln80R/9UV4Q1tvbi5/+9Kf4/ve/j7e85S0lG+R7PB688Y1vxBe+8AWMjY3hgx/8IJzOynbTvvSlL+X9/ta3vvXQ04mIiIjshpVhRERE1PT0lWFPPfUU7r333iMv98gjj+Czn/1s3t8uXbqE8+fP5/1tbW0Nr371q5FIJNS/jYyM4Cc/+QkkSapozD/4wQ/wB3/wB1hbWzN8mb29PfT19WF1dRUAcOLECciyDEmSsLm5CQBob2/H7OwsvF5vReMiIiIiqgFWhhERERGZwSc+8Ql4PJ68v/34xz8uON/f/u3f5gVhHo8HTzzxRMVBGAD8zu/8TtG+X4f5zne+owZhAPDAAw+gra0N73rXu9S/rays4Lvf/W7F4yIiIiKyOoZhRERERCW0tbUV9Ah78cUX835fX1/HF7/4xby/ffzjHy+oHqvEyMhIWefXT4F86KGHAAB/+Id/eOj5iIiIiOyEYRgRERHRIQYHB/N+X15ezvv9n//5n/NWgvT5fPjQhz5Ul7FpTUxM4L//+7/V30+fPo0LFy4AAC5cuIAzZ86op/3kJz/B5ORk3cdIREREZAYMw4iIiIgOcVR/1R/96Ed5v7/97W9HZ2dnLYdU1Fe+8hXkcjn1d1EVJrz//e9Xf87lcvjqV79ap5ERERERmQvDMCIiIqJDTE9P5/3e0dGh/ry/v49f/vKXeaffd999dRmXlj7ccjqdePDBB/PO8773vS9vhcqvfOUrRwZ9RERERM2IYRgRERFRCWtra3juuefy/nb27Fn158uXLyOVSuWdftddd9VlbFr/9V//lbda5n333VcwvXNgYABvfOMb1d8TiQSefPLJuo2RiIiIyCwYhhERERGV8Hd/93fY39/P+9ub3vQm9eeZmZmCy2jDsnop1ThfT/93NtInIiIiO2IYRkRERFTEo48+ir//+7/P+9uFCxdw5513qr+vrq7mne73++Hz+eoyPmFlZQXf/e531d9PnDiBd7zjHUXP+/a3vx2RSET9/dvf/jbW1tZqPkYiIiIiM3E3egBERERE9TY/P49EIpH3t2w2i7W1NVy6dAn/+q//il/84hd5p/t8Pnzuc5/L+9vKykre7ydPnqzJeA/z+OOPY29vT/39Xe96FwKBQNHzBgIBPPDAA3jssccAALu7u/j617/ekNUviYiIiBqFYRgRERHZzrvf/e6yzu/z+fD1r38d99xzT41GVLkvf/nLeb+XmiKpPV2EYeLyDMOIiIjITjhNkoiIiOgQFy5cwLPPPov777+/4LS2tra83zc2Nuo1LADAs88+iytXrqi/nz59Gq9//esPvczrXvc63HTTTervly9fxuXLl2s2RiIiIiKzYRhGREREBMDpdCISiWB4eBi//du/jU9+8pO4fPkyfvGLX+DWW28tepn29va831OpVN6UxVrTN8B///vfb+hy+vOxkT4RERHZiUNRlEbcbkNulIiIiOwpGo1iYmJC/f2pp57Cvffee+zr/dWvfoXXve51eX97/vnncfvttx/7uo+SSqXQ29urVqM5nU4kEgkMDg4eedmZmRkMDQ0hl8sBOOh1Njc3B7/fX9MxExEREZXgqOeNsTKMiIiIqEKvfvWrC5rVX7x4sS63/c1vfjNvWmYul8PQ0BAcDseR/wYGBtQgDADW19fxrW99qy7jJiIiImo0hmFEREREFfJ6vXjta1+b97ennnqqLrdd7amN+kb8RERERM2KYRgRERHRMbz5zW/O+/1b3/oWVlZWanqbY2Nj+NnPflbV63zyySchy3JVr5OIiIjIjBiGERERER3DH//xH6OlpUX9fW9vD1/4whdqeptf/vKXoe37+qEPfQiyLJf978///M/V61AUBV/5yldqOm4iIiIiM2ADfSIiImp6tWqgLzzyyCP47Gc/q/7u9XrxzDPP4FWvetWxrnd8fBwjIyN5f8tmsxgaGsLs7Kz6t8uXL+OOO+4o+/pHR0dx5swZ9ffBwUEkEgk4nfy+lIiIiOqKDfSJiIiIrOTjH/943iqO+/v7eOc734nJycmKr/OHP/whXvOa1xT9uzYIO3v2bEVBGACcPn067zampqbw4x//uKLrIiIiIrIKhmFEREREx9Te3o4nnngCXq9X/dvo6CguXLiAp59+uqzrmpubw8MPP4y3vvWtWF9fLzhd3zj/Pe95T2WDLnF5NtInIiKiZscwjIiIiKgK7rnnHjz22GN5UwxnZmbwG7/xG/i93/s9/Od//idSqVTRy6bTaTz55JP48Ic/jJGREfzTP/0TcrlcwfkWFxfxH//xH3l/e/e7332scf/+7/9+3pi/+93vYnl5+VjXSURERGRm7kYPgIiIiKhZvP/970ckEsFDDz2EjY0N9e/f+9738L3vfQ9+vx+33norOjs70draivX1dczPz2N0dBRbW1sF1xcIBPJ+/9rXvoZ0Oq3+fs899xT0FCtXb28v7r33Xjz55JMADqZ4Pv744/joRz96rOslIiIiMitWhhERERFV0dve9jb8+te/xjve8Y6C03Z3d/Hss8/ihz/8If7t3/4NP/jBD3Dp0qWCIMztduMDH/gAxsbG8v6un8J43CmSpa5HPxWTiIiIqJkwDCMiIiKqsuHhYfz7v/87XnjhBXz4wx/GwMDAkZdxu924++678bnPfQ5TU1P44he/iL6+PvX0X/ziF3j55ZfV310uFx544IGqjPf++++Hz+dTf7969SouXrxYlesmIiIiMhuHoiiNuN2G3CgRERFRo0xMTODq1auYmJjA5uYmMpkMIpEIWltbMTIygvPnz8Pv9zd6mERERESN4KjrjTEMIyIiIiIiIiKiBqprGMZpkkREREREREREZBsMw4iIiIiIiIiIyDYYhhERERERERERkW0wDCMiIiIiIiIiIttgGEZERERERERERLbhbvQAiIiIiIiakaIoUBQFuVwOTqcTDocDDkddF8siIiKiIhiGEREREREdgzb00v9TFAUA4PV6AQBOpxMul4vBGBERUQMxDCMiIiIiMkhRFGSz2ZKhl/Z8+n9er1c9v8PhgMvlUivGiIiIqH4YhhERERER6WgrvbThl5HQS/zTyuVyeRVhDocDiqIwFCMiImoAhmFEREREZFvFpjdms9mioZf2/KVCLwBwOBx5PcK0gZe4vD4UAwCXy6UGZkRERFQ7jmIf4HXQkBslIiIiInsq1dMrl8sVnE/8r/2nPx+AvEBL+0+cpiWCrmLVY/rm+qKvmNPJhd+JiMg26vpNECvDiIiIiKhpiJCpWF8v/fm05z9simOxSq9SoddRtNVg2qBteXkZ29vbcDqd6Ovrg9/vZ7N9IiKiGmEYRkRERESWo1/BURt+lTqvkdCrWPAlTqsmfSi2vLyM6elpAEBrayt8Ph+b7RMREdUIwzAiIiIiMi196KUNv4qdd3V1FVtbWwCAzs5OeDyeoqEXcGN6ojZkqlXYVOp6S1V9ZbNZNtsnIiKqEYZhRERERNRwpUKvcldwXFhYwPz8PACgpaUFHo+n6BRHs4VJ2m10u91stk9ERFRDDMOIiIiIqK5K9fQqJ/TS01d4AYDH44HX66359lSDdpucTqcahukb+IttzGazyGazaqUYm+0TEREZxzCMiIiIiGpCX+klArBioRcA9TSjoddRDe2tVDWl3VbtthRrtg8UhmJcgZKIiMg4hmFEREREdCylpjcetYKjNvzSOyr0Omws2uuwisPGfVgoJu4nNtsnIiIyjmEYERERERlSaeilD3C0SoVe4jS7MBLi6fuGiTCRzfaJiIjKwzCMiIiIiPKI8KpYXy/9+bTnP2yKY71Cr2asDNMTp7tcrryQkc32iYiIjGEYRkRERGRT+hUcteFXqfMaCb2KBV/itHpsk3YsVlHpuEUFmL4CT3vfa5vtMxQjIiJiGEZERETU9PShVzVWcBSBigi9tNPxGLaUTxtAVtIEn832iYiIjGMYRkRERNRESvX0qlboVU4z+0awW2WYXjnN9kUoZtbHkoiIqFYYhhERERFZkAg59H29ioVe+/v7mJ2dhaIoCIVCaG1treoKjmZlpXFXO8Q7qtm+0+lUnztstk9ERHbDMIyIiIjIxPTTG0WAUSz0Am6EHtp/yWQSsiwDALq6utDa2tpUoZdWsZDPCmpV0aat7AOOXoFSWy1GRETUrBiGEREREZlAqZ5eR63gqA2/9LThhuB0OuH1emu7MQ1k1mmSR42l1uPWr0BZqtm+CMrYbJ+IiJoZwzAiIiKiOqo09NL3f9IqNb1RnLa/v1/7DTMhKwU54vGux5jZbJ+IiOyOYRgRERFRDYiQQd/Ty2joVaqZ/WGhF1l3mqS2yX29sNk+ERHZFcMwIiIiomPQhgj6hvalzmsk9CoWfInTqDSzTpM8Sj0rw/SKhWJstk9ERM2MYRgRERGRAfrQ66gVHI2GXgDyQi8xHa1WQYOdAgwzbatoUH/Y6QAaOh3xsBUoNzc3kclk4HQ60dbWpgZi7CtGRERWxDCMiIiISKdUT69KQy+g9BTHegQJVp06WAmrbmsjK8P0ijXbl2UZS0tLAIA3vOEN8Pv9bLZPRESWxTCMiIiIbEtUeun7elk19CLzTpM0upqkmcYMFFaLCaK5PpvtExGRFTEMIyIioqann94owq9ioRdwY3oYQy+qF7OGYYL2NSCqwNhsn4iIrIphGBERETWNUj29iq3gmEqlsLq6CkVREA6HEQqFGHo1AbNWhh3F7GGY9jXkdrsLGu5rm+2L1xyb7RMRkVkxDCMiIiLLKSf0Ev9r/+VyOayvr+OVV14BAAwPDyMUChUNvQDzBhRUiGFYbejv18Oa7etPZyhGRERmwzCMiIiITEtbdXJY6KU9r5EVHMU0LsHpdMLj8fBAnRpGPKfN2m9LOyVS+zop1mxfBM7FQjM22yciIjNgGEZEREQNpz2A1je0L3VeI6FXsSmO4jRtGMZpj82DlWG1YWR82uBL+5oGwGb7RERkKgzDiIiIqG70oVc1VnAUB+fa0EscYBsNFor1CiNrM2uoVIrZw7ByKtcOC8XYbJ+IiMyAYRgRERHVRKmeXpWGXkB1m9nb9cC72bfbrMHmUfe72cOwSsZXLBRjs30iIjIDhmFERER0LKWmN5ol9DK6Dc2s2bdPywyh0v7+Pra3t7Gzs6P+7/F4MDg4iO7u7oKxWWFq53F6mrHZPhERmQ3DMCIiIjJEP71RBF/FQi/gxgGvmUIvso96PIcymUxe4CV+TqfTRc+/srKCYDCIaDSK/v5+tW+dFcKwaoSMbLZPRERmwTCMiIiI8pTq6aVvZi8OWLUHtFYKvXiA3ZxqUQWXy+XUsEsbfu3u7pZ9XclkEi+++CLGxsYwPDyMoaGhoqszmk21V7ssp9m+qBRjs30iIqoWhmFEREQ2VWnodVQz+2KhlzjNrOw0jdAuKnm+KYqCVCqVF3htb28jlUoZfo54PB6Ew2GEQiH1/1AohJ2dHSQSCaysrAA4mEo5OjqKeDyO/v7+Y427HrQN8KupkhUoGx2kExGR9TEMIyIianLaA0xtT69iodfGxgYURYHT6UQoFDo09CoWfInTrMAq46TyGAmtFEUp2tdrZ2en4HVRisvlygu8xP9er7fo+Ts6OtDZ2YmNjQ3Isoz5+XkAQDabxeTkpHo+o7dfb+J+rVV1VjkrULKvGBERHRfDMCIioiahPYDU9/UqdV7tv0wmg0uXLgEAIpEIbr311qYIvYywU2VYMz1uxeh7W6XT6YJKr52dHWQyGUPX53A41Ooubejl9/srui8jkQjuuOMOJJNJyLKMmZmZvNfo2toannvuOcRiMbS2tpZ9/bVSq8owPTbbJyKiemAYRkREZDHFQq/jruBYbNqRx+Np6ulIzbpddpXNZvNCrkwmg6effhr7+/uGryMQCBRUegUCgWNXQ4ngRisYDOLcuXM4deoUxsfH86rDlpaWsLS0hJMnTyIWi6Gzs7Ohz1ft+0W9+nbpm+2LMI7N9omIqBoYhhEREZmYqIioVugFlO7rpT+vnZpV26kyzOpyuRxSqVRBpVcqlco7n5gKWYzP5yvo6RUKhdTVHavtsIDG5/NBkiQ1DBPTAQFgfX0dly5dQigUgiRJ6Ovra8jrUlu51oiwSVSAGW22z1CMiIiOwjCMiIjIBLSVXtrwqxahl5GDRDuEQzxYNjdFUbC7u1vQ02tnZ8fw89PtducFXuJnj8dT49GXR7s9XV1d6OzshCzL2N7eBgDs7Ozg6tWrGB0dRTQaxeDgINzu+u3GN6IyrJhKmu3bKdQnIiLjGIYRERHVUameXsVCL+BGv5xahV7669HfPjUHsz+epZrZZ7NZQ5cXCz6EQiEsLS0hm83C5/PhwoULlgg9tZVXTqcT/f396Ovrw9LSEmRZxtraGgBgb28P169fx/j4OIaGhjA8PAyfz1f38TVasVBsf38fly5dgtPpRFtbG86cOYNcLscVKImIqCiGYURERDVQqqdXsRUcxf/iMrUOvQ6jPcC0E7ttb6NkMpmizezT6bShyzscDgSDwYJKr0AgoL4Ofv7zn+c1W7eCYpVXDocDXV1d6OrqwtraGmRZxuLiIoCD+zEejyORSKCvrw+SJCEUCtVlfGa6T/VTvDc3NwEc9DsUzwHxvspm+0REpMUwjIiI6BgqDb2OamZfLPQSp9WSncIwHhDXTi6XU6u7tJVeu7u7hq/D7/cXTHEMBoNHVibpV5O0gqPCptbWVrS2tmJ7exuyLGN2dlZ975mensb09DS6u7sRi8UQiUSqPj6zVYbpORyOgjGK97FiK1Bqq8WIiMieGIYREREZoK3c0je0L3Veoys46oMvcVoj2PXg0A7hXy0oioJUKlVQ7ZVKpQzfp16vt6DSKxQKHbsnlpmey0eNxWjlVTgcxm233YbTp09jYmICk5OT6lTShYUFLCwsoK2tDZIkoaOjo2r3gVkrw7S078Wiib72fVsfirHZPhGRvTEMIyIi0tAePOn7epU6rxVDr1LEeOwQDpntvjcz0ZOpWF+vYq+NYlwuV17gJf73er1VH6vVlBs2+f1+3HTTTYjFYpiamkIikVBXzlxdXcXq6ipaWlogSRJ6enqOXc1l9sowoHCqKZvtExHRYRiGERGRLRULvY67gqM4iK11X69aEuM0GnCQ9Rz1XEyn03lhl/g5k8kYvn59pVc4HIbP56vL66AZp0mW4vF4EIvFMDw8jNnZWciyjGQyCQDY2trClStX8Morr0CSJPT391dcbWe1yjBtqHVYKCa+pBDv/Wy2T0RkHwzDiIio6YkpMeWGXgsLCxgbG4OiKGqFhVCPZvaNYPXxV8qK1UTHlc1mCwKv7e1ttcLIiFLN7M1QYWOl57I2yKlk3C6XC4ODgxgYGMDCwgJkWcbGxgYAYHd3Fy+99BLGxsYwPDyMoaGhsqvxrFAZdtQYi4Vi4rNBvJ+Lzwk22ycian4Mw4iIqGloK7204VellV7ieoCDAym32900oVcpnCbZfHK5HFKplPr78vIyVlZW8v52FJ/PV1DpFQwG4XK5ajHkY7Hic7dalVcOhwM9PT3o7u7G6uoqZFnG8vIygIOKv7GxMciyjP7+fkSjUQSDQUPXe9ywrh6MBnb6FSjFZ4R2BVI22ycian4Mw4iIyHJK9fQqFnoBNw52SoVeQPFKL4/Hk3ceMx74V5udwjCtZtheRVGwu7tbUOmVTCbztu+wFR3dbndBT69QKFTwWrACK4UX1Z6G6HA40N7ejvb2dmxtbSEej2N+fl4NfSYnJzE1NYWenh5IkoQTJ04YHp9VK8P0xP2sbbTPZvtERPbBMIyIiEyrVE8vfT8rcaCmP6AxGnqVqvTShl/NEJYYYacwzMoHtaWa2YtKxqM4nc6CwCscDsPr9Vr6fgGs+dytZdjU0tKC22+/HWfOnEEikcD09DSy2SwURcHc3Bzm5ubQ0dEBSZLQ1tZW9PFvpsqwYthsn4jIfhiGERFRwx0n9DqsmX2x0EucZoT2fHZpKG+nMEzLrNubyWQKKr12dnaQTqcNXd7hcCAYDMLr9WJtbQ0A0NPTg7Nnz5o21DgOKzR6L6Ye4w4EAjh79ixGRkYwOTmJiYkJ9Xm0vLyM5eVlRCIRSJKE7u7uvHFYrTKs0vuQzfaJiOyDYRgREdWN9uBC39C+1HmNhF7Fgi9x2nFoD/rMGpZUm13DsEbL5XJFm9nv7e0Zvg6/319Q6RUMBuF0OrGxsYHnnnsOANTed83OSttYzxDP6/Xi1KlTkCQJ09PTSCQSav+4jY0NPP/88wgGg5AkCX19fXC5XE1fGaZnpNm++Oxis30iImtiGEZERFWnDb30vb1KnddI6AUg75v4aoVepbAyrLk14sBVURSkUqmCSq9UKmX4Pvd6vQVTHEOhENxu7taZ9Xl71HOtERVtLpcLw8PDGBwcxPz8PGRZxtbWFgAgmUzi2rVrGB0dxfDwMHw+n3o5K1SGVWuM5TbbZyhGRGQd3GsiIqKKlQq9jrOCoziIMNrXq5ZYGWYf1d5eRVGwt7dXUO21s7NjOFh1uVwFlV6hUAher7eqY20mnCZZPqfTib6+PvT29mJlZQXxeByrq6sADnrTjY6O5r0XmvV+rUUYJpTTbF+cj832iYjMjWEYEREZIr4Nr1boBZTXzL4R7FgZJtghDKvW8yydTueFXeLnTCZj6PJOpxPBYDAv8AqHw/D5fDV5LZjl9UU3mGEaosPhQEdHBzo6OrCxsYF4PI6FhYWC8c3Pz6OjowPhcLgh4yyllmGYFpvtExE1B4ZhRESUR1vppQ2/mjn0KsXOlWEA1Kk/dmDk8c1ms0Wb2e/v7xu+HRF6aYOvQCDAg+UqaYbKMDM8FyKRCM6fP4+dnR11BUoxxvX1dTz99NPo6uqCJElobW1t8GgP1CsME9hsn4jI2hiGERHZVKmeXsVCLwDY2trC3Nwcstks2tvbcfLkyYLrtGroVYodK8PsGoZp5XI5JJPJgkov0WTcCJ/PV7SZvcvlqsoY3/CGN2BhYQHd3d34n//5n6pcZzNohjDMTOMOhUI4d+4cAoEAXnnllbzTFhcXsbi4iNbWVkiShM7OzoaOvd5hmMBm+0RE1sQwjIioyZXq6aUPd8TBmP5bbvH3nZ0dzMzMADg40G9ra2ua0KsUVobZY5uBg+f3tWvXsL29jWQyaXjb3W533tRGEX55PJ6ajndhYQGzs7M1vQ2rs9L7kVnDMEH7XtjX14eVlRV1pdO1tTWsra0hHA5DkiT09vY2pLqtUWGYwGb7RETWwjCMiKhJaL+NLjf0OqyZvdhZ1x/c1/pg3wxYGdYcYZiiKHl9vbT/C6IKrBSn01nQ00s0s7fCwWyzPJZHsep2mj0M046vq6sLt956K2ZnZyHLsvq62d7exgsvvKCuQDk4OFjXFU4bHYYJbLZPRGQNDMOIiCxGv4KjNvwqdV4joVexKY7iNAB5BzUZ26f5AAAgAElEQVRWPeAsFyvDrLfNmUymaF+vdDpt6PIOh6Ogmb3o68WDVWux0uNl9jBMHzQ5nU4MDAygv78fS0tLiMfjWF9fBwDs7u7i+vXrGB8fx9DQEIaHh+Hz+Wo+RrP1XQOKT6G8fPkyNjY24HQ68frXvx7AQT9CUSlmlrETETU7hmFERCalD7204Vep8xoJvQDkNfLVh16laHfQ7VglZcdtNnMYls1m1b5e2uBLTN0ywufzqedvaWnB2bNnEQwGeTBqYWZ+zh7GDKtJHqbU+BwOB7q6utDV1YW1tTXIsozFxUUAB8F0PB5HIpFAf38/JElCMBisyxjN9hrWhmLpdFpddENbMaZfgbIZWw8QEZkJwzAiogYrFXodZwVHsQNdzWb22oOLYoFcM2JlWOO3WVEUpFKpgkqvVCpleHxer7dgimMwGEQul8PTTz8N4EbDe7I2s1dYlWL2cRupumptbUVrayu2t7chyzJmZ2fVz7apqSlMTU2hp6cHkiQhEolUfYxmDsME7fRIAGpzfXEam+0TEdUPwzAiojoq1dOr0tALqN8KjqwMs9821zMMUxQFe3t7BZVeyWTS8H3vcrmKNrP3er1Fzy+qM6h5mDVUOmosZh23UE7lWjgcxm233YbTp08jkUhgampK/QJlfn4e8/PzaG9vhyRJaG9vr9r2WiEMA258mSR6hQFstk9E1AgMw4iIaqBUTy8rhF6l2D0MM0OVVD3UY5u1zey14VcmkzF0eafTiWAwmBd4hcNh+Hy+il8Pdnl8AXOGLXZnxn5XWpWMz+/34+abb8bIyAgmJycxMTGhBtArKytYWVlBS0sLJElCT0/PsbfbKmGYGKc23BLN9sVpbLZPRFR7DMOIiI6hVE+vYqGX9vxmDr1KsWsYJg5E7LTNwnEDomw2W7SZfTkVWaKZvbbaKxAIVOVgt9GvKao+s1dYlWL2cR+np5nH48HIyAii0ShmZmaQSCSQTCYBAFtbW7hy5QpGR0cRjUYxMDCgVksdZ4xWCcO0RAWYfgVKcV5tXzGGYkREx8cwjIjIgFI9vfQBiTb00u7MlhN6idPMxo5hGHCw3cUCzmZVSRiWy+UKmtmLvl5GiZ5d2uArGAxWfGBcrmZ/fJt9+4ox4/toKWYPw6pRueZyuTA0NITBwUEsLCwgHo9jc3MTAJBKpfDSSy9hbGwMw8PDGBoaKjm9uRSrhGHaaZLFFFuBslQoJprtm3l7iYjMimEYEZGG2PEs1tdLK51Oq+fx+XxHNrO3UuhVil3DMPEY2SVMOOw5qSgKdnd3C6Y4JpNJw/eP2+1GOBzOC75CoRA8Hk+1NsEwK73+yBirvk7NHoZVc7VLh8OBnp4edHd3Y3V1FbIsY3l5GcDBZ+vY2BhkWcbAwACi0SgCgUDZYzRzOFSqMkzvsFBM32zf6XSq/8z4/CEiMiOGYURkS/oVHLXhV6nzav8988wz2N3dhdvtxj333APgxo6rPvgSp1md2C47TRkEbhyw2GWbtc/V9fV1rK6u5oVfRlcSdTqdBSs4imb2Znw9WDVEoXxmD5VKMfu4a9HTzOFwoL29He3t7djc3IQsy5ifn1e/kJqYmMDk5CR6e3shSRJaWloOvT5tUGTG+1AwGoYJ+r5hxZrti89lNtsnIjKOYRgRNTV96KUNv0qd96hm9mJnEziY7uDxeJoq9DqMmDJol2AIuPGYNus2ZzKZvOmNokIDAK5fv37k5R0Oh9rXSxt8+f1+078ezD4+sg+zVzXVenwnTpzA7bffrq5AOT09rYY+s7OzmJ2dRUdHB2KxGFpbW4u+dssNmRpB2zah3Cng5TTbF1/Msa8YEVFpDMOIqCmUCr2Os4Kj2IEsNsVR7MSKnU677GzaOQyzeuVQNptFMpksmOK4t7dn+Dr8fn9BpVcwGDT1wadRVn986YDZK6xKMfu46zW+YDCIW265BadOnVIrw9LpNABgeXkZy8vLiEQikCQJ3d3deWPRVoaZVbVCxVLN9vWhGJvtExGVxjCMiCynVE+vSkMvoPwVHLXf6GazWbjd9ng7tduUQcB626woitrMXlvxJVZvK0dXVxfa2trUZvZ2eZ5Tc7DSwb/Zw7B6V655vV6cPn0akiRhZmYGsixjd3cXALCxsYHnn38ewWAQkiShv79f7Z9Vr/FVqtr3I5vtExFVjnu1RGRapXp61TP0KkUbhlklJKkGqwVD1SC22WyVQ4qiYG9vLy/wEs3sjT4+LperoNJrcXERMzMzAICBgQGcPHmylpvRUGYMHeh4zB4qlWL2cTdqfG63G8PDwxgcHMT8/DxkWcbW1hYAIJlM4tq1a+oKlKL9gZnDHm2LhmqulFtus31RKWbG5xoRUb0wDCOihis1vVF/QC92xrU7erUOvUrR7mwbbSjeDOwYhplhmmQ6nc4LvETVVyaTMXR5p9OJYDBYEHz5fL6C18Tq6qr6s9kCwFqy07Y28wGwVR9Hs4dhje5p5nQ60dfXh97eXiwvL0OWZfW9am9vD6+88krdx1SJWt+PxUIxbbN9basDNtsnIrtjGEZEdVNp6KX/llOrVOglTqsV/TRJu7BjGKatDBM94molm80WVHrt7Oxgf3/f8HXom9mHQiEEAoGyVi4TrBosGMUDwOZmpsf3qLFYKQxr5PgcDgc6OzvR2dmJ9fV1yLKMhYWFvPPs7u7i6tWriEajCIfDDRppcfUKFY2sQMlm+0RkdwzDiKjqtN9EVhJ6lWpm34jQqxS7T5OsRzBkFvoGzdWY2pLL5dS+XtrgS/TEMcLn8+UFXqKvVzWn3jR7GKbV7Nva7NsnWHU7zRI2lSLuVzNNrTt58iTOnz+PnZ0dyLKM6elp9bTp6WlMT0+jq6sLsVjMNNO9azVNshT9CpRstk9EdAPDMCKqmH4FR234Veq8RkKvYsGXOM0s7D5NEqheMGR2x6mUUhQFu7u7BZVeyWTS8HV5PJ68Si/xf62a2dupMoyaj9krrEox+7jNvFJjKBTCuXPn8sIwYXFxEYuLi2htbYUkSejs7GzoNjRyuimb7RMR5WMYRkRH0ode1VjBUeyMih0wbc8KM+5s69m9MgywTxim3+ZiFEXB/v5+QU+vnZ0dw2Gpy+VSq7y0oZfX663ra8JOYZgV3muoclZ6fLWvNTMGEGJ8ZhwbkP/e3Nraiq6uLiQSCezt7QEA1tbWsLa2hnA4DEmS0Nvb25Bt0X4eNOq+ZLN9IqIDDMOIKE+pnl7FQq9cLofJyUlkMhl4vV709vYeGXrVopl9I7AyzD4hoHabFUVBJpPJC7zEz+l02tD1ORyOgr5e4XAYfr/fFK8J/fbahZ22tZlZ9XFkZdjxaD+PXC4XJEnC8PAwZmdnIcsydnZ2AADb29t44YUXMDo6img0ioGBgZpV2RoZZyMZabYv9gHZbJ+ImhHDMCKbEmGWvq9XOZVeiqJAlmUAQDgcVr9pbabQqxS7N9AHmj8My2azSCaTeX28nnnmmbKa2fv9/oLpjcFg0LTVFXpWDRbKoW0yTdZn9lCpFLOP20qVYWKMTqcTAwMD6O/vx+LiImRZxvr6OoCDJvsvv/wyxsfHMTQ0hKGhIfh8voaMs9FKNdsfHx/H+vo6XC4Xbr75ZgQCAYZiRNRUGIYRNTn99EYRfhULvYAbO0GlpjcC+c3sXS6Xep1er7cu22QGdgqFtJpxu3O5HFKpVMEUx2QyWXDeUkGY1+stqPQKBoN1rTioFjtNk9Sy07aS+Zg9DLNSZZg+ZHI4HOju7kZ3dzfW1tYQj8extLQEAEin0xgfH4csyxgYGEA0GkUwGKzZOM0wTbIUfbP97e1tLC8vAwBOnz6tVoiJ5yqb7ROR1VlvL52IiirV0+uoFRy14ZdeqRUctTs+IgyzU3UUwMowwHphmKIo2NvbK5jimEwmDW+Ly+UqqPQSfb2ahd3CMFaGNRezh0qlmH3cVqwMK6a1tRV33nkntra2IMsy5ubm8to+TE5OoqenB5IkIRKJ1HScjZ4meRjRTF9wuVxstk9ETYdhGJHFVBp66ZukapUKvcRph3G73djf37dVIAQwDAPMHYal0+mCFRy3t7cNP1ZOpxPBYBDhcBjJZBKbm5sAgPPnz+PEiRO1HHrD2S0MsyMzhi3VYoZQKZPJFLz35HI5dHd3Y2hoCB6Pp+AyYtxmfWy0QYgZlTv9sKWlBa961atw+vRpJBIJTE9Pq58P8/PzmJ+fR3t7OyRJQnt7e9UeFzNOkyxFO1a32w2n08lm+0TUVBiGEZmUtpFpJaFXqRUcKw29ShGhUDabhaIottkBskooVG1mWzggk8kgmUwWBF/l9PUq1sxe9EYBgFdeeUUNw+zArmGYnbaVqkNRFCSTSfW9R/zT9hnU2tzchCzLGBoawvDwcF6PKrOHTVYJ64Dy7sNAIICzZ8/i1KlTmJycxMTEhPr5sbKygpWVFZw4cQKSJKG7u/vYj4++2srM9GMVYRib7RNRs2AYRtRg2ootfUP7Uuc1EnoVC77EadUkdubEOOyy48PKsPqGgLlcLi/0EgefpQ46i/H5fEWb2R91QGK34NNuYZhd3rPs8FgCtasM29/fzwu8xPtQue8JmUwG8XgciUQCAwMDkCQJgUDAMmGTWcM67eNQyX3o8XgwMjKCaDSKmZkZJBIJtW/k5uYmfv3rXyMQCECSJPT391ccZFmpMkzs24j9SfFzsWb7IhTTns5QjIjMjmEYUZ3oQ69KV3DUEjsX2tBLu8NSD9odwkwm01S9kw6j3W47BCRCrYMhRVGwu7tbUOmVTCYNH8x7PJ6CSq9QKFRxM3vta8kOj7XdwjDBTttqF5V8Dmaz2YIpjtvb20in04Yu73Q68957xL9cLoeJiQnMzMzk9aiamppCX19fXvBgNmaYenqUaoVMLpcLQ0NDGBwcxPz8PGRZViuDU6kUXnzxRYyNjWF4eBiDg4Nl7/NYMQwrFvzpm+1r93H1oZg4H5vtE5HZMAwjqoFSPb2qGXoVa2bfCKyQsu92HycYUhQF+/v7BQed5VRauFwutYG99uDT4/FU9XVht3DIzttL1mf0OasoClKpVEHolUqlDN+Wdoq1eA/STrHW8ng8uPXWW3Hq1CnIsqz2qFIUBTMzM2WPv56sEOBUe4wOhwO9vb3o6enB6uoq4vE4VlZWABxUCY6OjiIej6srUAYCAUPXa6VpkuI+PWqc2uBL359W32xfVIqZ9XlERPbCMIzoGMQHvr6vV6WhF2BsBUczsWsYxsow49udTqfzpjaKn41WWjgcDrWZvTb88vv9dXld2HmaJJHVFKti0gbv2mmORl/PHo8nL/AS/1cSZvj9fpw9exYjIyOYmJjA5ORk3nthJpPBM888g5GREbS2tpri9WinyjA9h8OB9vZ2tLe3Y2NjA7IsY35+HsDBPo94DHt7eyFJElpaWhoyzlo4rDKsmMNCMbFvq1+B0sz7t0TU/BiGERmgn94owq9ioRdwo4dCM4VepWinntkpDGNlWGEwlM1mi/b12tvbM3z9gUCgoNorGAw29KBBe9tmrNqoNrtNCxXs8Ng2u2w2m1fZNTMzk9cQ/ShOp7Og0jQcDtdk+r/X68Xp06chSRKmpqZw/fp19TTRuP3kyZOIxWLo7Oxs6L6BFQKceowxEongjjvuQDKZVFegFPt7s7OzmJ2dRWdnJyRJKhlkWuG+FMoNw4RioRib7RORGTEMI9Io1dPrqBUcX375ZWxtbSGXy+HOO+/MO2+zhF6lsDLMvtu9ubmJeDyuBl+i2bARXq+3aF8vM04bsVs4xGmSZHba3oLaaY6pVCrvOXvYe1IgECgIvUpNcawlt9sNSZIwPj6OTCaT12dpfX0dly5dQjgcRiwWQ09PT0MClOM2p6+HeoZMwWAQt9xyC06dOlVQ3be0tISlpSWcPHkSkiShq6sr7z6zyjRJ/VTHSrDZPhGZHcMwsqVKQy992beQSqXUnW7xgV7LFRzNxK6hkHYnrlkDEkVRsLe3l3ewubGxoZ4upoocxu1254Vd2r5eVmHnyjA7scNja0XpdLqgr9fOzo7hzxvtghra96FKF9SoNb/fj9OnTyMej2N7exsAsL29jStXrmB0dBSxWAz9/f11DcW0rw2zVjM1ouJKW903PT2NRCKhrnC8vr6Oy5cvIxQKQZIk9PX1qRVR9R5nJbTjPG5ox2b7RGRW5twTIKoSbWl2JaFXqWb2+kov/YG9mb/tqzb9apJ2oe9/YXWip46+ob3RbRPTi/RTHH0+n+V3aFkZ1tys/vyshBm3OZfLqdOste9BRqdZOxwOhEIhOJ1OdfW/U6dOYXBw0BTbK6pfDjsdOPhM7evrQ29vL5aWljA+Pq5+CZFKpXDt2jWMjY0hGo1icHCwLqEeK8MO53a7EY1GMTQ0hLm5OciyrAaZOzs7uHr1KkZHRxGNRvP2k8wchtWqgq3cZvsMxYiolhiGUVPQfqDqG9qXOq+R0KtY8CVO09LujGYymZr0FzEru1aGAQfbbrUwLJPJ5PX1Ev8b7amjFYlEMDg42LDpRfVi53DIDtsr2GlbG0lbcap9H0omk4YfA7/fX3SKo9PpxMzMjBqGud1u07wvHTUOse3a/Yyuri50dnYWrGa4t7eH69evIx6PY2hoCMPDwzXd72BlmDFOpxP9/f3o6+vD8vIy4vE41tbWANx4zLTM/MVpradzlhOKiWb7Zn3uEZF1MQwjS9GHXtVYwVHseGpDL/GBa3Qn2q5N5AF7h2HieWLGaiFtlYW24ktM4TDC5/MV9PTKZrO4dOkSAKClpQVdXV212gTTsPM0STtsr1004rHMZDJFpzgarSLWTrPWTnM8rBrKCisfFqMPwwT9aobxeBwLCwsADqaQjo+PI5FIYHBwENFoFH6/v+pjs0JlmJkCO4fDgc7OTnR2dmJ9fR2yLKuPmda1a9cgSRJCoVADRnk47f5cLe9PIytQstk+EdUKwzAyvVwuh29+85tYXFyEoih46KGH8k43GnoBtWtmb9epgoC9wzCx7Y3cbkVRkEqlCqY4llNloe2po/2/2AGnmPoBmDMErIXDVtBsRnYLw3hQdXwifNeHXkbDd4fDgWAwmBd4hcPhpphmbYR2n+Ww7Y1EIjh//jy2t7cRj8cxNzentoJIJBKYmJhAf39/1QMWMwVNpZihMqyYkydPqo+ZWIFSmJ6exvT0NLq7uyFJEk6ePNnAkeard6N/NtsnokZgGEampygKHnnkEUxNTaGrqwsPPvhgw0KvUvTTJO2EVXE3dtpquVOmKIra10s/xdFoQONyuQp6eolm9kbHbrdgCGDPMLuw07ZWSrwPicBLW3lq9P4TFafa96BgMFi1AMOqlWGCkTGHw2G86lWvwunTpyHLMqanp9XPIRGw9Pb2IhaLoaWl5dhjskJlmFnDMCEcDuPWW2/F8vJyQUi8sLCAhYUFtLa2IhaLoaOjo+H3czUb6JdD32xfjKNYs32xr8++YkRUKYZhZAmRSARTU1PY2NjIC5vqHXqVYucwzM5VcfpgqFo7jOl0umgze6P3r7bKQht8+f3+Y7827B6G2SEwsfP20g2ZTKbgPaic9yGXy1XQ1ysUCtV1JVmrPLaVBniBQAC33HILRkZGkEgkMDU1pT4+c3NzmJubQ2dnJ2KxGFpbW6syPjMGTYD5wzBB3Jc+nw/Dw8OYmJhQF4lYW1vDc889h3A4jFgshp6enoZtS70rw4oRFWBHrUDJZvtEVCmGYWR6DocDkUgEwEED0nQ6jWAw2JDQqxROFTxg522vJAzLZrNFm9kbXT0NODgY0gZeoVCoqlUWenYMw+y2zXYLwwQ7batWLpdTp1prK77KneKoD72qEb5XwoqVYccNcnw+H2666SbEYjFMTk5iYmJCXRRlaWkJS0tLx6o6skLQZIUxAjf2k1wuF2KxGKLRKGZnZyHLMnZ2dgActCO4cuUKXnnlFUSjUQwMDNRl1dBi4wQaf3+y2T4R1QrDMDI9bRgGAJubmwiHww0cUSFWhh2wWxim3dnKZrMlKx70B5ui6iuZTBq+La/Xmxd4iZ/r/Y2t3YIhwH4N9LXstr12sbGxgRdffFF9LzL6WhbvQ/qqUzMdeFrxOVutAM/j8WBkZATRaBTT09OQZVkNNUXV0YkTJxCLxdDd3W34tqwQMFolDBPjFJ/dTqcTAwMD6O/vx+LiIuLxODY2NgAAu7u7ePnllzE+Pl6XVUO1zFAZpndYKJZKpeBwOOB2u+Hz+fIqxcz6nCWixmMYRpagDcPW19fR19fXwNEUYhh2wG5hmH7bFUXB3t5eQaVXMpk0fLCpXT1NG3zVc2rRYewYhtmtUsrO29ssstlswRTHzc1N9fTV1dVDL+90OgumOJrpfegwZg1uDhtLtcfscrkwPDyMwcHBgqqjzc1NPP/88wiFQpAkCX19fUeGR1YImqzQ10xf0aTlcDjQ3d2Nrq4urK2tQZZlLC0tAbixaqgsyxgYGEA0GkUwGKzpWBvVM8yIYqHYtWvXsL6+DgB405veBOBGnzE22yeiUhiGkek5HI68FXbEN2ZmYucm8mIHQ/RtsIv9/f284PPq1avY3d01fB84nc6CKq9QKGT61dPs1kwesF8AaNcwzKrbqigKFhcX86Y5plIpw5cvNsUxEAiY+n2o2dQqwNNWHS0sLCAej6uh6M7ODq5evYqxsTFIkoSBgYGSoYdZA0YtqwV2pe5rh8OBtrY2tLW1YWtrC7Isq6uG5nI5TE5OYmpqCj09PZAkCSdOnKjJWM1YGaanDcXEfetwOPJ+ZrN9IjoMwzCyBG1lmBnDMDs3kRffumUymaYMw0QTaf0UR9GPRRDfuus5HA4EAoGCSi+rHmyKHcpcLmeLYAiwXwBotzDMKsQqjuK9SLwH7e/v4+rVq0de3u12q59PnZ2dGB4ebshU61oza3Bz2IrDtR6zw+FAT08Puru7sbKygvHxcaytrQE4mIr30ksvYXx8HMPDwxgaGiqoALRa0NQsY2xpaVFXDU0kEpienlar0MUCCe3t7YjFYmhra6vqc8cKYZggeoYBUKdHstk+ERnBMIwswUqVYXYLwwCoYZiVtz2Xy+U1sxcHnEabSAOA3+8vqPYKBoOm35Esl53DMDuEQ3bbXsEs26pdWEP8KxbAlxqvqDrVT3Pc2NjACy+8AODgILtWFSVmYpWD3XoFeA6HAx0dHejo6MDa2hri8bg6FW9/fx+jo6OQZRmDg4OIRqPw+XwArDEFsRnDMCEQCODs2bMYGRlRF0hIp9MAgJWVFaysrFTUC+4wZmqgb4Q2DHM6nWy2T0SGMAwjSzB7ZRjDsIOwxwqVYYqilGxmb/Rg2OPxIBQKIZfLqVNObrnlFvT09NRy6KYhdhyt8HhXg90a6NstDGvUwb2iKNjd3c0LvMQUx3Lud6fTiWg0qoZeVq06rRYrPmcbUc3W2tqKO++8E1tbW4jH45ibmwNwsA8jyzImJiYwMDAASZLyxmfW4MAKYdhxq628Xi9OnToFSZIwMzMDWZbVKdGiF1wwGEQ0GkV/f/+xvogzc8+wYrRhGHB4s319hbt2+qSd3zuJ7IhhGFmC2SvDnE6n+sFql4BASxuGHTYVpJ4URcmbVqQNv4xWNLlcroJKr3A4rK7mNDU1ldeU2i7EgYZdKsPYM8wearmt6XQ6L/ASPxv9vBABvLaZvaja8Xg8iMViNRu71Zh1muRhGll51dLSgttvvx2nTp2CLMuYmZkp6E+lrSI0631qhTCsWmN0uVwYGhrCwMAAFhYWIMuyui+STCbx4osvYmxsrOS0VyOsNE0SuPFFtPbLaaB4KCamS+pDMTbbJ7IfhmFkCa2trerPZgzDgIOdhVwuZ+vKMOBgZ6/eO07pdLog8Nre3jb8WDgcDjX00gZffr//0B0i/Xbbhd3CMLuFQ3be3uPSTrfWhl57e3uGx6JvZi8CeB6cNS8zVF6FQiHceuutOHXqFBKJBKamptQvuLT7XeW0DqgnK4Rh1Z566HQ60dvbi56eHqysrECWZaysrAC4Me01Ho+r0179fn9FYzV7GJbL5dTX0GELE4hQTHsZEYrpm+0zFCOyB4ZhZAnayjCzVuK43W6k02lbhmH61TRrteOk7aWjDb6MHmgCB7039JVegUCgoh1T7WXsVBFo5zDMDttstzCsEoqiYG9vr2CKYznTrf1+f0Ffr0rfi+gGK1aGmWnMfr8fN998M2KxWEF/KgAYHR3F6upqTZq2H4e2L5RZ1WrqobYX3MbGBmRZxvz8PICDfZNEIoGJiQn09fVBkiSEw+Ejr9NKPcPKCe7E81U02ddOodSHYuJ8bLZP1LwYhpEl6KdJmmUqnpYIhMw0VbBetDsf1QiFcrlcQV8v0UvHKK/Xm3egKaq+qrkDWu3ttgqxYyx2Ipv9uc5pkvZQalszmUxB6LWzs2P4iw+3210QeoVCoYLpPFQdZgqWtA4bixnHLPpTRaNRPP/881heXlZPE03bI5EIRkZG0NnZ2fBxWy0Mq9U4I5EI7rjjDiSTSXXaq6iCmpmZwczMDDo7OxGLxfJmXehZqTKs0rEe1leMzfaJ7IF7YmQJZm+gD9wIw8SHqdl3HqpJu63lVMaJBtL6KY47OzuGD8LdbndB4BUOhyvqkVEuu4Ukgn67m/25brdwyK7bqyhKQei1vb1d1hTHYDBYMMXR5/M1PCiwK6vc72YMwwS3241IJKKGYT6fT31NbGxs4NKlSwiHw4jFYujp6WlYWGCFMKye1VbBYBDnzp3DqVOnMDExgcnJSXX/bGlpCUtLSzh58iRisVjRMNNKDfS1+52VjJXN9onsi2EYWYI2DDPrNEl9IGT2nYdqMlIhtb+/X1DpVU4DaafTWbKZfaN2SOxaGdboHnH1pt9RbnbNHoZpF9fQV5xevHjR0HX4fL6C0CsYDJr6QFyrmQ/irPicNXMYBuSP77bbbsP+/j7i8Ti2t7cBANvb27hy5QdoWk4AACAASURBVApGR0chSdKxVzI8zhjN/BpsRMDk8/lw5swZxGIxTE9PI5FIqH3f1tfXcenSJYRCIUiShL6+vqKrRZv9M1471uNU3LLZPpH9MAwjS/B4PGhpacHW1pbpp0kCB2GYWOnLDrQ7Svv7+9jY2CgIvrQ9Rw7jcDgQCAQKpjgGAgHTPeZ2b6AP2Ge7nU4nstmsLbbXbK+z48hkMgXvReUsruFyuQpCr1AoVJfKUzo+qzyXG7mapBH6EKevrw+9vb1YWlpCPB7H+vo6ACCVSuHFF1/E+Pg4otEoBgcH6zYd2AqVYY1s8u92uxGNRjE0NIS5uTnIsqyGmTs7O7h69SpGR0fVx00ETFaogKp2cMdm+0T2wTCMLMHhcCASiahhmBnpw7Bmp101TfuYXL161fB1+P3+gimOoVDI1DuzWnZvoA/YJwzTTqWzA6tVwun7DIp/5a5819XVlRd+HbWirJVY5bE8LitupxlWkzxMsco1h8OBrq4udHZ2Ym1tDfF4XJ1Kube3h+vXryMej2NoaAjDw8Pwer01HaMVwjAzNKV3Op3o7+9HX18flpaWIMsy1tbWANx43MbHx9Xzm70qDKhdFRub7RM1P4ZhZBmRSATT09OmnSbZrGGYoigFzex3dnbKWjXN4/EU9PRqhgbSdp0mabfVFYEb22yn7TVjGCamOGpDL/GeZPSxEYtriPehyclJ7OzsAADOnTvHAxmLM+OUw6PGYcYxax1W0eRwONDW1oa2tjZsbGwgHo9jYWEBAJBOpzE+Po5EIoGBgQFIkgS/31/TMZo5DDNTHy4RZnZ1dWFtbQ2yLGNxcRFA/j5sLpfDzs4OQqFQo4Z6pHpM6WSzfaLmZO0jUbINURkGALu7u0ilUqb7YLZ6MKLto6MPvsoJAPx+P1pbWwv6ejUju06TtON2i51au2yvGSrhstlsQehVzpRrl8tV0GOw2OIas7OztRg+mYAZg6VizB6GGR1fJBLB+fPnsb29DVmWMTs7q04vE03c+/v7IUlSVffhtMG9mQOIRk6TPExraytaW1sLHjfgYMw///nP0d3djVgsltfD1yyO20C/HGy2T9RcGIaRJWjDMOCgib7ZwjArVYal0+mCwKucPjoOhyNvWqPY0QWAvr4+RKPRGo7ePDhNkuFQs6rn9orqU33opW1sf5RgMJgXeFXaZ9CM/SipPFZ8jZo9DCs3xAmHw7jttttw6tQpyLKM6elpte/S9PQ0pqen0dPTg1gshhMnTtR9fI1ihmmShxGP2+nTp/HTn/4077SFhQUsLCygra0NkiSho6PDNM/VajXQLweb7RM1B4ZhZBnaMGx9fR29vb0NHE0hM4ZhorJCG3jt7Oyoy6IboW1mLw42A4FA3o7c6uqqGoYxFGp+dtxusc1WPNCuRK3CMH31qfi5nCmO+tArFAodqxqAByfNxezBUjFmH3OlDf4DgQBuueUWjIyMqJVhYv9ofn4e8/Pz6OzsRCwWQ2tra1XGZ8aQSTDTNMnDaBeA8vl86swB4GB/b3V1FS0tLZAkCT09PQ2/zxu58iWb7RNZG8MwsgSHw4GTJ0+qv5uxiX4jwzB98+hKKitEHx19Q3sjOxZWnyJaKe23f3babjuGYXbsGQZUHoZls1l1gQ1t6CUOqI7idDoLQq96TLm2W9jZ7KyynWYPw47b4N/n8+HMmTOQJAlTU1NIJBLqe8HS0hKWlpbQ2tqKWCxWUcWRFcMwM49Tuz8TCoVw5513YnZ2FrIsI5lMAgC2trZw5coVdQXK/v7+hvWBbWQYJrDZPpE1MQwjy9BWhpkxDKtHIKQoCnZ3dwumOO7s7Bg+iHO73QV9dEKhUEEfnXLYNQwDDradYVjzY2VYceI9ST/FURwwGaGtPhXhVyVTHIkAa75GzR6GVVoZpufxeBCLxTA8PIzp6WnIsqyu+Lq2tobnnnsOJ06cQCwWQ3d3t+HbsmLIZObKMH0Fm8vlwuDgIAYGBrCwsABZltX98FQqhZdeegljY2MYHh7G0NBQ3fvE1rNnmBHlNNtnKEbUWAzDyDLsVhmmnU6kDb+Mhi6iskIffHm93qp/6Gq33U6hEGC/xuqAPcMwbThkp75S2oP0dDpddIqj0de8x+PJC7zE+1KjD17s8ljahdmDpWKqFTbVynErw/RcLheGh4cxODiIubk5xONxdUXXzc1NPP/88wgGg4jFYujr6zvyNs1+/wlWD+0cDgd6enrQ3d2N1dVVyLKM5eVlAAefD2NjY5BlGf39/YhGowgGgw0db6OVCsVyuRw2Njbg8Xjg8/nU1iNcgZKo/hiGkWWYvTKs0jAsk8kUBF7lrJjmcDgKKisqbR69tbWFlpaWsi4DsDIMsNd22zEM025zs4dhoucJcPD+9Pzzz5fVa9DpdCIYDBad4mj2+82KVUVkfdUOm6qtVmGT0+lEf38/+vr6sLi4iPHxcWxubgIAkskkrl69irGxMUSjUQwMDJSchmfFkMnK43Q4HGhvb0d7ezu2trYQj8cxPz+v9sqanJzE1NQUenp6IElSVRZJMDpeM4Vhgj4US6fTeO655wAAHR0duPPOO9lsn6hBGIaRZVi9MiyXy6k9dLTBl5giYITf7y+o9AoGg1XZqbp48SLe8Y534CMf+Qgefvjhslbr1O58mGXxgHoR2y4CBDvsvNgxDNM+rmLJdKtTFAV7e3sFfb2SyWReM+DV1dWS1+H3+4tOcbTS/WOH1yxgn6DPipVhZh9zrcM6h8OB7u5udHV1YWVlBfF4XH3f2d3dxcsvv4zx8XFEo1EMDQ0VtHWwShhmlQb65YRLLS0tuP3223HmzBkkEglMT08jm81CURTMzc1hbm4OHR0dkCQJbW1tNXl+N2I1yUqIUEz/PGCzfaLGMe87BpGOdqUh8c2hmWh3GNLpNJaWlvKmOWoPMI/i8XiKNrOv1Ye8oij41Kc+hc3NTXzmM5/BY489ho9//ON43/veZ+g2xYe1+FbQTrS9pBiGNS99ZZjVZDKZgr5eOzs7hsNrt9tdEHrV8j2pUaz42FJpVnk/NnsYVq9piA6HAx0dHejo6MD6+jri8TgWFxcBHOxXjY6OIh6PY2hoCNFoVF310IphmFXGaTS0CwQCOHv2LEZGRjA5OYmJiQl1hsPy8jKWl5cRiUQgSVJZ/eCMMHtlmJ72/nW73XkL9BQLxcQUSjO+NxBZXXPtxVJTM1tlmFhqWntwKWxvb+OFF1448jpcLldB4FWPFdP09vb2cPPNN+P//u//kM1msbCwgI9+9KP4x3/8R/zFX/wFfvd3f/fID2GXy4VMJmO7MEw/RdTMO7jVot1Guzze+sowsypWgbq9vW14iqPD4UAoFEIqlVK/rX7d614Hn8/XtDvizbpddmXGYOmocZhxzFpifOIgvR5OnjyJV7/61eo0vLm5OQAHnzmyLGNiYgL9/f2QJMkyIZMVp0mWGy55vV6cOnUKkiRhenoaiURCXdl8Y2ND7QcnSRL6+vqqEl6ZrYH+UbTjdbvdhlagZLN9otpgGEaWoe8ZVs8qnHQ6XdDTq5yqCnGAqW9o7/f7TfGh5vf78fnPfx4PP/ww/uqv/grf+973AACjo6N473vfi7vuuguf+cxncOHChZLXwTDM3CFJNdm9MswM26wN47UVX+WsLOvz+Qr6eolp1xcvXlQDfr/fX8tNIaoqK1b3mT0M066EV29iGt7p06chyzKmp6fVwGBqagrT09N5MwfMHDLZKbTTLpIwPz8PWZaxtbUF4KAf3LVr1zA6OqquQHmcFc3FeK0ypVAfhgHlrUDJZvtE1cMwjCxDu7NTq8qwbDZb0My+nMbRWtFoNK+ZvRU+tM6cOYPHH38cFy9exKc+9Sn87//+LwDgmWeewZvf/Ga8+c1vxqc//WmcPXu24LJutxt7e3u2C8PsWCVltmCoHrQ72PU+2BaLbOirvYyG8S6XqyD0CoVChx58aFfPtBO7bW+zs8KBMWD+kERbGdYowWAQ586dw8jICCYmJjA5Oan2ptL2Ndzf32/YGI+iDzfMqprTDp1OJ/r6+tDb21vQD25/f1+d+jo4OIhoNFrRly9ivFaoCgMO73F2WCgmpkyKZvva6ZNmfj4RmRnDMLIMbWXYcXuG5XI5pFKpvMBre3tbLeU2wufzFVR6Xb9+Xf3mS5Iky3443X333fjhD3+IH/3oR/jLv/xLvPTSSwCAH/3oR/jxj3+M97znPfjEJz6BgYEB9TLaVRXt0jsLYGWYXcKDemyz/n1JhF5GF9lwOBwIBoMFfb0qqUDVh3/N/Hpu5m0rpZm32YrvSawMM87v9+Omm26CJEkFvakAYGpqCslkErFYrGYN2yulrWAys1o0+tf2g9vY2EA8HsfCwgKAg/slkUhgYmICfX19kCQJ4XDY8HWL+9UqPSyNTOvUhmLAjUWaRPsCp9OJbDbLFSiJjska7xo2sr6+jm9/+9v41re+hevXr2Nubg4OhwM9PT0YGBjA61//etx33324cOGC2jjULkRT+e3tbcPTJBVFwe7ubkGlVzlTidxud8EKjqWqKrR/y2Qyxyr7bjSHw4G3vOUt+K3f+i184xvfwN/8zd9gZmYGuVwOjz/+OL75zW/igx/8ID72sY+htbW1oHeWVXZKjouVYfYLAI+7zWKKozbw2t7eRjKZNHzdXq+3aLVXtQ6y7BSGaVkxSKF8Zg+WijH7mM1QGaYnelNFo1Fcu3ZN7SkGACsrK1hZWUEkEkEsFkNXV5cpxi7e381ewVTrhvSRSATnz5/Hzs4OEomEum+pKApmZmYwMzODrq4uSJKUNyvkqPGa/X4Vik2TLEU8b8Vnuz4UY7N9ouOxx9GqRXz1q1/FI488gpWVlYLTtra2MDo6iqeeegp//dd/jSeeeALvfOc7GzDKxnE4HIhEImoYpre9vZ13gClCL6MBhdPpLKj0Es3sjX6oaD/UrB6GCS6XC+9973tx//3347HHHsNnP/tZrK+vY3d3F5///Ofx1a9+FX/2Z3+W10/MTmGYPgS0AzsGgJVOkxRTr/UrOWorGQ6jX2RDBGC1fm9p5LTQerPLQUOzP47FWOWxNXsYZqbKMD2324329nY1DPN6vepUyY2NDVy+fBnhcBixWAw9PT0N3QYz349a9VqdMRQK4dy5czh16pQ69VUERYuLi1hcXERrayskSUJnZ2fR14Z2FXOrhGGHTZMsRWw7m+0TVZc9jlZNTlEUfOADH8C//Mu/5P29r68PQ0NDCAQCWFxcxPXr1w33iGlWkUgEy8vLCIfD+H//7//hpZdewiuvvIJ4PI67774bDz/88JHXoZ1KpD3IDAQCx/7QaOZgJBAI4CMf+QgefPBB/MM//AMeffRR7O3tYX19HZ/85CfR3d2Nd73rXbj33nubbtsPwyope2zzUatJKoqiTnHUhl7lTL0OBoMFoVejFtmwUxhGzcWKz1ezh2FmrAzT0r4nnzlzBi6XC/F4XG1bsb29jStXrmB0dBSSJKG/v78hwYlVpknWe9VLn8+HM2fOIBaLYWpqColEQu3Vu7a2hrW1Nfx/9s47vK3yfP+3hm0NL3nIQ7Klc2STOCSQBCilfFsoLS10QKFQWnoFyg670P6AAknssEfLHm3KKKtsymyhpYG2QFnZcYLtoyPZsixP2ZYtL43fH+45HA3bkq3xHp3zuS5fJESynveM97zvrft5nsLCQlAUhZqamjm/kBOLGLbU7pdysX0ZmdQhi2EEcPnll0cIYaeccgo2bNiAgw46KOJ1k5OT2Lp1K5566ink5+dnOsyMMzU1hS+++AK7d+/Gnj17sHv3bjAMg6mpKTAMg02bNkW83ul0xvwOjUYT46rguqWlg2hnWC5SVlaGG264ARdccAFuuukmPPPMMwiHw+jt7cV9992HV199FTfccAN+9KMfEbtwTiW5LIDOhRTFMOGYp6enMTQ0FOP4SibFUSh4cfMSSQt5Kdy78RCjkCITCenCUjxIj5l0R1N0jauamhpUV1djYGAADMNgeHgYADAxMYHW1lZ0dHTAarWivr4+oy52OU1yftRqNSiKgsVigdvtBsuyGB8fBzAraO7evZvvQFlXVwe1Wi16MWwp159cbF9GZunIYliWeeedd3Dffffxf//d736HK664Iu5rNRoNjj/+eBx//PGZCi9jjIyM4J///Ccveu3ZswdtbW0JiwulpaWorKyE2WzmhS+9Xp/xVD0piGEcZrMZDz30EC655BK0tLTgb3/7GwCgs7MTZ555Jo488khs3rwZhx12WJYjTS+yGJa7YlgwGITf78fY2Bi8Xi////fs2ZPQ+7nU6+jaXmL4MkNKzjApjVWGTMQihpEYGxC/G6dCoUBlZSUqKysxNDQEu92OgYEBALNfaHBZBRaLBRaLJe3zMidWCGMklXQU0E8GpVIJs9kMk8mE/v5+2O12XtCcnJzEF198AYZhUF9fD6PRyL9PLOU5FpMmOR/xRLHoYvucKCYX25eRiUQcs0aOMjMzgwsuuID/+5lnnjmnEJbrOBwOnHzyyQu+Tq1WIxwOY9myZTjmmGNw5JFHYvXq1TCZTBmIcmGkJIZxHHjggXj++efxwgsv4LbbbkNbWxsA4IMPPsC3vvUtnHjiidi4cSMaGxuzHGl6kIowJCTXxsw12ohOcfT7/Qn/Dq1WG5PimIrU62whC0QyYoUUYUlYL3BqagplZWWoqKiYs+4RB2lzhhhEnHhimJCysjKUlZVhZGQELMvC4/EAmF2nMQwDlmVRV1cHq9UKrVablhjF5GAiJVaFQgGj0Qij0Qiv1wuWZdHX1wdg9tzZ7XawLMu/nvTjyrHUNMm5WKgDpVxsX0YmFlkMyyKvvvoqHA4HgNm0mdtvvz27AWWR5cuXQ6VS8Q/g/Px8NDU1YeXKlVi5ciVWrVqFlStX4uabb8Yf/vAHtLa24p577sHhhx+e5cgjkaJLiOPwww/Hbbfdho8++ggvvPACv0B59dVX8cYbb+AXv/gFrr76alRXV2c50tQixXMuZjFsZmYmQvDi/pzMudPr9TAYDBGOL7EswhNFSmKYvBHIXTJxbqPFdG5OiRbTWZZFUVERbDYbqqqq5qxDSJrgRLJQx5Ho8SspKcHq1asxNjYGlmXhdrv51DKugHttbS1omoZer89KjCSQ6ZphiWAwGGAwGGLOnfD6HBoawsjICEpKSrIY6cKkKk1yLuRi+zIyiSOLYVlEWCfsxBNPjLD6So2CggL89re/RW1tLVauXImGhoa43dJKS0v5P8frKJltpOgM4+AepF/72tewbt06vPvuu7jlllvQ29uLYDCIRx55BH/+859x8cUX4/LLL0dxcXG2Q04JQhFEbMLQYom23ZNIKBTiO8oKN6hcUd6FUCqVfEH7wsJC+P1+uN1uAIDFYsk5UTcaKYlhQqQ01lwlncXeg8FghOjF/SQqpvt8PuzYsSOmuyHJgpMwNlKEkWiSFZoKCwuxatUqNDQ0wOFwoKuri3fRdHd3o7u7G9XV1aBpOmVrFbGKYaR90cOdu8bGRjgcDnR2dvLH1u/346OPPkJ5eTkoikJ5eTlx9xOQ2eMrF9uXkZkfWQzLEjMzM3jvvff4v//gBz/IXjCEcPnlly/4GlkMIxfhA12pVOLss8/GaaedhgceeAD33HMPfD4f/H4/7rjjDjz66KO46qqrcM4554iiftJ8zNXVKNchRQzjXBnRopff709Y2NBoNDF1vbRabcS5dblcEZ+Z60hJDCNxs5RucnnMqbhe47m9kukOG10vMD8/H11dXRgdHQXwZXfDjo4O0DQdMY+Sdm5Ijo1jsUKTVqtFU1MTbDYbnE4nnE4nv3bzeDzweDyoqKgATdMoKytbUowkC0zRZLtmWCJoNBosX74cRUVF2L17d8S/DQ4OYnBwEMXFxaAoClVVVUQJPNw1lkk3llxsX0YmPrIYliV27twZ4VD46le/CgD48MMPsWXLFvz73/9Gd3c3NBoNamtrcdRRR+GMM87gXydVxCSGSUkYAeKPXa/X46qrrsLZZ5+N22+/HY888ghmZmYwODiIq6++Gg899BA2bNiAH//4x0QtVJJBis4w4MsNRybHHAgEYup6JePKUKvVMXW9Em20Ibw+c10cAqQlhgmR0lhznUQ3cYFAIGI+SXZeKSgoiOgMG09MV6lUMJvNMd0N/X4/9uzZE/EcIW3zmYvOsGjy8/PR2NgIiqLQ2dkJh8OB6elpAMDAwAAGBgZgMBhA0/Scdd/SHWMmEZNwJzwX1dXVGB0d5VOUR0dHsXPnTmi1WlitVpjNZiLGwx3fbBT8l4vty8hEIothWWLXrl38n5VKJUwmEy644AL84Q9/iHjd5OQkhoeH0draioceeginnnoqHn30URQWFmY6ZCIgXQwTPmSl7AyL3kRUVFTg9ttvx4UXXogbb7wRL7zwAoDZxgnnnHMO7r33XrS0tOCYY47JaMypQMrOMCA9YlgoFOK7OAo3qYmmOCoUCr6jrFD0KigoWPSCbq76PrmKVMWwXEYq53Gucaba7cX9xCvpEA+uu2FFRQXf3XBwcBBA5LOju7sbNE0TsWkHxCHipMq9plarQdM0LBYLuru7wbIsf314vV58/vnnKCoq4lNck/ksMRxHDu56FIMIIrx3KioqcPDBB6O3txd2u513Yk5MTGDfvn3o6OiAxWJBfX19VrMSuP1BNrtfJltsXxbFZHIVWQzLEtwCCAAqKytxzjnn4LnnngMwO0GtWLECRqMRvb29aG1t5V/7wgsvgGEY/Pvf/4ZOp8t43NlGKIZxDzmSkNMkZ5lLFKIoCo888gguvfRSbNq0CVu3bgUw65T80Y9+hG9+85toaWnB6tWrMxJzKpBiAX0gNWJYOBzG1NRUTIrj+Ph4wht3oSuD26jqdLqUbzZkZ1juIi/ucwvh9epyuRblIhWmTnNzi06nS8m1olAoUF5ejvLycni9XtjtdvT39/P/zjAMurq6YLVaUV9fn9UNM5DbaZJzoVKpUF9fD7PZjJ6eHrAsi7GxMQCzdd927tyJ9vZ2UBQFk8mU0GeKyW0lFMNIJ/q4KhQKVFdXo6qqCkNDQ2BZFgMDAwBmS9R0dHSAZVmYzea0dg+di3A4HJEmmW2SKbbPvU4uti+TS8hiWJbgLPIA0Nvbywth3/ve9/DAAw/AarXy/84wDC666CK88847AIBt27bh0ksvxSOPPJLRmEmAdGeYLIbNstDYV69ejVdffRX//Oc/sWnTJuzcuRMAsHXrVmzduhWnnnoqrr/+elAUldaYU4GcJpnYmIWpSMLNaaL3iUqlihG99Hp9wq6MpSI7w6SBlMaaC4TDYUxMTMR1eoVCIbS1tc37fqVSGeP0yuS8YjAYcMghh+C///1vxLpwenoabW1tYFkWFosFFoslYzFFI4U0ybngMjdqa2vR19cHu93Orz39fj/27t2Ljo4OUBQFs9k8r3ApJmcYFysJYs1CCNcQ0enGnOg8OjoKlmXh8Xh49xPXPbSmpgYURaGoqCgj8Qqvg2wL3dHIxfZlpAhZd6GEiJfu893vfhevvfZazMPHZrPhjTfewHe/+13eSfP444/jqquuwrJlyzISLykI2yWPjIzw9l1S4B4Wwm9+pMJiHFLHHHMMjj76aLz00ku44YYb4HA4AMw6IP/yl7/gnHPOwVVXXYWKiop0hJwS5DTJUMR9GAqF+M2pUPSanJxM6PcqFArodLqYFEeNRpPVe112huUuJD1DZOZGWDNQ6CRdrNuLq+1FwvkXboqrqqrQ29sL4Esni8PhQH19PaxWa8bTu0judMmRbsFOoVCgqqoKRqMRQ0NDYBgGQ0NDAGbX8/v37wfDMPOm4IlJDOPuKTGIYYk47oqLi3HwwQfzHShdLhe/dnG73XC73XyjBIPBkNbrfC7xjiTiiWL79++H2+2GWq3GmjVrUFJSIhfbl8kJZDEsS+j1+oi/K5VKPPjgg3NOjHl5eXjwwQexYsUKXql//PHHccstt2QiXGIwGAz8n0l0hnF59YFAQFLCCLD4dEGlUolTTz0VJ5xwAh599FHcfvvtGBwcxMzMDB5++GE8/fTTuPzyy3HxxRfH3DckINU0SeGip7Ozkxe+/H5/ws6p/Pz8GEeGXq8ncqMgO8OkgZTGSirx3F7JCOocSqUSDQ0N/PxCmgtDiPC6W7VqFRobG8GyLNxuN//lmt1uh9PpRF1dHaxWKzQaTUZiE4OIk6kYhW6j4eFh2O129PX1AYhMwauvr4fFYok4R2JMkyQ9TiDyuC50j+t0OqxYsQINDQ28M2xmZgbAl40SSkpK+A6U6RB3hGIYyXMSECmKBQIB/odz18nF9mVyAbLvwhwmugD+EUccAZqm533P8uXLceihh+LTTz8FALz//vtpi49Uop1hJKJWq/kHhpRYqihUUFCACy+8ED//+c9xzz334IEHHoDf74fP58ONN96ILVu24De/+Q3WrVuXtXSReER338lFgsFgTLc1Yc0+hmHmfb9KpYpIbUy28DQJSM0ZJiTXxysv3LPHzMxM3E6Oic6l8dxe27dvx9TUFNRqNcxmc5pHkBqi3VeFhYVYtWoVbDYbWJaFy+XiN6AOhwOdnZ0wm82gKCrtNY/E4AzLhmBXWlqKtWvXwufzgWVZ9PT08OeIZVk4nU6YTCZQFAWdTicKURFATGoc6SxGZBR2D+UaJXBi+8jICHbs2AGdTpdUTbjFxEu6GMbBpUdy5OXlycX2ZXIGcdyFOUhlZWXE39euXZvQ+9auXcuLYXa7PeVxkU5+fj70ej3Gx8cxOjpKXJok8OXDTWpimFKp5EWhpTikiouLsWHDBpx33nm47bbb8PjjjyMYDKK3txe//OUvcf/992PTpk044YQTiDn3qRg3CUQ7MrhNaqLd1oDZb16jRa9spzimAtkZJiOzeMLhMPx+f4zwlajbK7pmYFFREfR6vWg2kwsxl+Ck0+lwKSYDqgAAIABJREFU4IEH8qJYV1cX/8VLZ2cnurq6YDKZQNN02poqiUHEyWaR/6KiIhx00EFoaGgAy7Lo7u7mz1FXVxdcLheqq6sjREtSjyMgLgcbsLR41Wo1LBYL6urq4PF4wLIsfD4fgMiacNxrUvEFnhjSJOMhjLugoCCi4L5cbF9GzOTGKkKELF++POLvZWVlCb2vvLyc/7PX601pTGJAoVCgpKQE4+PjRDvDAPDfmojpYbdUVCoVQqFQSoTA6upq3HXXXbjooouwefNmvPrqqwCAjo4OrFu3DoceeihuuOEGHHnkkUv+rKXCpcaKSSSZnp6Oqes1Pj6e8Bg4ARAAGhoaYDAYoNPpcvZ6l5ozTKpimFTGms7NyczMTNzaXonOLVqtNsbtlYygzp1DkjZgC8WykPtKo9GgqakJNE3zzrBgMIhwOAyXy4Xu7m7U1NSApumYzIOlIqZuktl0o3DCZUNDQ8w56unpiXgtyc9J4fkmOU6OVIhLSqUStbW1qKmpwcDAAFiWjagJ19bWBoZh4qa/LiVeMYn50cc5mWL7nFOMZBFYRrqI5y7MMVasWBHx93gF9eMh/BY1U/UiSKOkpARutzsiTYskotMFxbCYSBUqlQozMzMpdUg1NjbiySefxCeffIJNmzbhgw8+AAB89tlnOP7443Hcccehubk55p7KJNwDnkRnWDAYhN/vj9mYTk9PJ/R+pVIZU8y+sLAQHR0d8Hg8AICKioq0uRJIQXaG5S6kbvBJh3N7RQtfia5nhG4v4fwipg1iqkg0FbGgoADLli0DRVFwOp1wOp18DR+uEHh1dTVsNlvKuuOJqZskCfFx54imaXR2dsLhcPB1qTgYhkFeXh7Ky8uJm3/E7Axb6tyhUChQWVmJyspKDA8Pg2VZvpkFl/7qcDhgMplgtVoXJTyLMU0SAH8Nq9XqiGtW7kApI3bEcxfmGMXFxVizZg22b98OAGBZNqH3CV9XVVWVlthIhnOGAbMW5qmpqbTXy0gW4cMtEAhkvPNTNuEWTukQhb7yla/grbfewttvv43m5ma0trYCAP72t7/h7bffxumnn45rr70WdXV1Kf/sheDGnU2RJBwOY3JyMibF0e/3J/w7OEeGUPyaq9uacDEjBXFIdoZJg1we61LGlm23VzKQ6AxbiGRj5moeWa3WGMHF4/HA4/HAaDTCZrNF1FpdDGJzhpFCXl4ebDYbLBYLXC4X2tvb+bXR2NgYPvvsMxQXF8Nms8FoNBJzbIXrN5KO51xw8aa6m2FpaSnWrFmD8fFxPv2VE3tcLhdcLheMRiNomkZpaWnCv1esaZLccZ5LwJtPFIuurSvXFZMhCVkMyyInn3wyL4a99957mJmZmTcffWpqCv/617/4v3/1q19Ne4ykIRTDAGB0dJR4MUxKCEWhdNRzUygUOO6443Dsscfi2WefxY033sgvUJ5++mm8+OKLWL9+Pa688sqIzqPphlswpmvc0Qg3ppzoNT4+nrAImZeXFyF4cQJYMgszqYlhsjMsd5EX418SCoXidnIUo9tLTOd1sWKOUHDp6uoCy7K867evrw99fX2oqKiAzWZb9DNRdoYtDbVaDavVisnJSTgcjoh/Gx0dxfbt26HX60HTNGpqarI+BrE6w9JVm0qv12PlypVobGyEw+FAV1cXv7bn7jGDwQCKolBZWblgDGJNkxQ6w+Yjum4Yty6Wi+3LkIp47sIcZN26dbjhhhswPT2N3t5ePPbYYzj//PPnfP0f/vAHDA4O8n8/8cQTMxEmcUR3lCTNISeLYbMEg8G0PehVKhV+/vOf4+STT8aWLVtw5513Ynh4GFNTU7jnnnvwpz/9Cb/61a9w/vnnZ0QsTde4Q6EQxsfHY4pOJ5PiyBW0Fzq+8vPzl7zwEC7YSUwPTTWyM0wm11iq24vUZhlivF6X6mZTq9WgKAr19fVwuVyw2+28gDkwMICBgQGUlZXBZrOhrKwsqc+RnWGpQXhdNjY2wuPx8MXax8fHsXv3brS3t4OiKJjN5qwJUWKrGSYUw9IJl/5qs9nQ1dUFh8PB32NerxderxeFhYWgKGpeUVOMaZLCbumJxszNFVyhfe79crF9GdIQx12Yo1gsFqxfvx733nsvAOBXv/oVli9fjm984xsxr3333XdxzTXX8H9vamrCSSedlLFYSUGhUETYkYeHh7MYTXyihREpIXxIplMM49Bqtbjsssuwbt063HXXXXjooYcwNTWF4eFhbNiwAQ8//DCuu+46/OxnP0vrQkn4uxfjGuJSHKOL2fv9/oQ3dhqNJkb00mq1adscyM6w3EaqYlgujjUUCsHv90fU2WQYBl988UVC71er1XHdXqRulKWQJjkXKpWK73zX3d0Nu93OdwMeGhrC0NAQSktLYbPZUFFRkdDnyc6w1CBcD3LpdQMDA7Db7XxDrMnJSezbtw8Mw8Bqtaasg+Fi4yT1HhfCfemcqVg54dliscDtdoNlWYyPjwOYTX/lRE2r1Qqz2RyzDhZjmuRS3WycAyw6hVIoigmL7cuimEwmkcWwLLN582a8++672Lt3L8bGxnDMMcdg3bp1+MEPfgCj0Yje3l689tprePrpp/mHvUajwVNPPUX0Qz+dRDvDSEN2hs0SCARQUFCQkc81GAzYvHkzzj//fNx888145plnEAqF0N3djYsuugj33Xcfmpubcdxxx6XlAZuMSyoQCMSkOI6NjSUsnAo3ppzolY00JKmJYbIzLHfJpUU31yVW+OP3+2Pu0bmeTUInKfdTUFAgymMkpphTLeAplUrU1dXBZDKhp6cHDMPw9SOHh4fx+eefJ1yvSnaGpQbhceTSwrhi7V6vF3a7Hf39/QBm7+O2tjbY7Xa+g2Gm1lNiE8MWqmWVLpRKJcxmM0wmE/r6+sCyLP8F/eTkJPbv3893oKyvr+fPnxjTJFMVs1xsX4ZExHEX5jAlJSV46623cOyxx6KtrQ3BYBCPP/44Hn/88Tlf//zzz2Pt2rWZDZQghM4wWQwji2y74sxmMx588EFccsklaGlpwV//+lcAwL59+3DaaafhyCOPREtLC77yla+k9HPjjZtzY0SLXonW3lEoFNDr9TG1vVKR4pgKpCaGyc4waSCWsXJ1WIDZ58yOHTuSTqEuLi4WjdsrGcRyDoWky82mVCphMplQW1sLj8cDhmEwNjYG4Mt6VYWFhbDZbKiuro77+dEiDmlwm2qAXLEOmP84GgwGHHLIIRgdHYXdbuc7NQcCAdjtdjgcDpjNZlAUlfbSD2IqoC+cB7M1dykUClRVVaGqqipG1JyZmQHDMGBZFmazGVarVZRpkqkW8JIpts+JYqlukCAjwyGOuzDHqa+vx44dO7Bx40b88Y9/jJv6p1arcdppp+GGG24ARVFZiJIcZDGMXLIthnGsWLECzz33HD744ANs3LgRn376KQDggw8+wLe//W2ccMIJ2LRpExobG5f8WcKFOAB0dHRgenoa4+PjCW/KCgoKYtxeOp2O6IWo1MQw2RmWu5C+wI7n9hofH+eFr2AwiKGhoTnfz7m9wuEwv0lraGiA2WzOSPzZgvTzKiTdYo5CoUBNTQ2qq6vR19cHhmH4tNmxsTHs3LkT7e3tsNlsMfWOSE+TJF2s40jEcVVcXIzVq1fHdDAMhULo7OxEV1cXamtrQVEUCgsL0xKnmGqGkeZi40RNn88HlmXR09MTcf46OzsjHH4kxJwIwr1MKtN2Fyq2r1QqEQwG5Q6UMmlFFsMIQavV4o477sBNN92E999/HyzLYmBgAMXFxbBarfjGN76B4uLibIdJBEIxTFgDhRRIEYSyAWljP/LII/GPf/wDr7/+Opqbm9HR0QEAeO211/Dmm2/izDPPxDXXXIPq6uqEfl8gEIip6zU2NhaxUJhvUyrstCZMccx0TZBUIDUxTMrOMCmRTeFP6CZdTMOMhWp7ud1uXgwjWTRYKmJwCUUjdEWkE87FYjQaMTAwAIZh+C9g/X4/du/ejY6ODr6IO+fQEL6fNMQihiUTJ9fBsKGhASzLwuVyIRgMIhwOo7u7G93d3aiqqgJN0xGlQ1IBaQLTfJAaa1FREQ466CC+AyV3/gBEZAeMjIwk1IEy26Q7tZMbf3Rn9rk6UArdYjIyS0UWwwgjPz8fxx57bLbDIBrZGUYu0QX0SUChUOCEE07A9773PTz55JO4+eab0dvbi2AwiEcffRTPPvssLrroIvzyl7/kBedQKISJiYmYFMfJycmEP1On00WkOOr1eiI6raUKKYphQlt/riMlZ1g2mJ6ehs/nixHXEznW3PzC3YN5eXk48sgjiUmhzjZivF65mDMl5nD1qioqKjA0NASGYfgvciYmJtDa2gqGYUBRFPFpc7kohnFoNBo0NTXBZrPB6XTC6XTy68re3l709vaioqICNE3DYDCk5P4nVWCKB+nF6LVaLZqamtDQ0IDOzk44nc6ILze2bduG4uJiUBSFqqoqYq/fTNU5i+5AOVexfU4ok4vty6QCWQyTER2yGEYupDnDhKjVapx11ln4yU9+ggcffBB33303fD4f/H4/7rzzTjzyyCP4xS9+gWOPPRaBQCBhgaegoABKpZLv2GWz2VBXV0fsoiZVLLWDphjhFmFSGK+UxLB0LqRDoVCE4MX9zMzMJPT+vLy8GLeXTqeDSqXiHaVKpTKh4tq5fh6ByDGStEFaKJZsudkUCgXKy8tRXl4Or9cLhmEwMDAAYNbBsn///oi5nqRjyiEWMYxbE3HOlmTIz89HY2MjKIpCV1cXHA4H7zAaGBjAwMAASktLQdP0kp1GpIufQsRSfysvLw82mw1WqxXvvfdexPw/OjqKnTt3QqvVgqIomEwm4oS9bBT9l4vty2QKcmcOGZk5iBbDONssKZDojsoU0d0kSSIYDPKb0hNPPBGHHHIIHnvsMbz55psIBALwer2466678Mwzz+D000/H17/+9YgHq0qlinF6FRYWIi8vDy6XC21tbQBmF61SeCBLzRkGgE8ZkoKoICUxTMhixxoOh+fs5JiM2yta+JLdXtKAhNROg8GAQw89FCMjI2AYBn19fQAi1zEejwcGg4Go1H6xiGGp6HipVqtBURTq6+vR3d0NlmX5L+KGh4exbds2FBUVgaIoVFdXL+qzxOQME1OsACIEm7y8PGi1Wr7cC+fI7OjogMViQV1dHfLz87MZLo9QvMu06CgX25dJN7IYJiM6SHeGkSwIpRsSnGHhcJhPcRSmOXILRiFnnXUWvve97+GZZ57B+++/D2A29eCuu+7CG2+8gSuvvBLf+c53UFhYOG+Ko1SFIQ6pjJk7/1IYr5TEsGQXzelwe+n1eqI38mKBVGfYQpAghnGUlJRg7dq18Pl8YBiG72wIzNad6+vrg8VigcViIWKzLiUxjEOlUqG+vh5msxkejwd2u53vEurz+bBr1y6+9pvJZErqM+UC+umF2xcUFBTgiCOOwNDQEOx2OwYHBwHMptC3t7fDbrfzHSjT3UF0IbLhDIsmnigmF9uXSQWyGCYjOkgXw5RKJf9NhSyGpRfOiRFddydRsSI/Px/Lly/H7373O3R2duLuu+/mRbH29nZceOGF+OY3v4nm5masWbNmzt9DggiYaaQohnFjznVxCJCWGCZEOFbZ7SVuxHKMhXUISYq5qKgIq1evxq5du+B2u/n/HwgEwDAMHA4H6urqQFFUQmm66UIsYhi3NkilaKNUKlFbW4uamhr09/eDYRh+Xez3+7F37150dHTAarWirq4uISFDTAKTmGIFwIs3AHgHE5emPDIyApZlefE5GAzC6XSis7MTNTU1oCgKRUVFWYmbBDGMY6EOlHKxfZlkkcUwGdGRn58PnU4Hv9+P0dFR4tIkgdmHxfT0tCyGpQguxTFa9Eq0y5pSqYyb4ij8VruxsRHf+ta3sHXrVmzatAk7duwAAGzduhVbt27FKaecgg0bNoCiqJjfL4th0hDDZGdY7jM0NASv15u02ys/Px96vR5FRUURnWJJ3pznImK/VklbywCRm1+j0Yj+/n5+8+lwONDZ2Qmz2QyapqHRaDIen/Cck3y/pdIZFo1CoYDRaERlZWWM02hqagpffPEF7HY7LBYL6uvr53X0ialmGOkF9KOZr8ZZSUkJVq9eDb/fz3eg5IQet9sNt9uNyspKUBSVsmYJiUKSGMYhF9uXSRVkXNEyMklSUlICv99PpDMM+FIMk4owwrHUemnhcBiTk5MxKY5+vz/h36HVaiMEr8LCQmi12oQfgN/85jdx1FFH4eWXX8bmzZvhcDgAAC+++CJeffVVnH322bj66qtRUVHBv0eKwpCUxyz2DXci5KoYFg6HMTU1FeH08nq9/L+7XK55369QKCLmFqHbSyb7kJomOd+XdqTGzCGMr6GhAU1NTWBZlt+sh0IhdHZ2oqurCyaTCTRNQ6fTZSw+sTjD0imGcUQ7jex2O3p7ewHM1n3q6OgAy7Koq6uD1WqNK16KyW0llgL6HImISjqdDitWrEBDQwPvDOO+lOnv70d/fz9KS0tBURSMRmNG5gwSxTAhc9UVm5mZgc/n4+uzaTQaudi+TAzkXdEyMgugUChQUlKCnp4eYsUwbgERCASIdK6li2QcUjMzMzGi1/j4eMIiGld3J9rxlYrFm1KpxCmnnIITTjgBjz76KG677TYMDg5iZmYGv//97/HMM8/gsssuw8UXX4zCwkLZGSYRMUx2hokLYdMM4U+ijt38/Py4nRzlRbQ4EMtzl3QxRxifQqGAVqvFihUrQNM0HA4Hurq6EAwGEQ6H4XK50N3djZqaGtA0jcLCwozGR+LxA2LT4zJBSUkJ1qxZg7GxMdjtdvT09EQ4+pxOZ1zxUq4Zlj6ScbIJO4i6XC44HA5MTk4CmG2WsH37duj1elAUhdra2rRe+8K4SWqeEU20KDY+Po5t27YBAOrr69HU1CQX25eJQRbDZEQHJ4YBszURpqens2LNn49ohxSJ36Skg3jNA4TFpoUb02RTHKNFr0zU3cnPz8f69etx+umn495778X9998Pv98Pn8+Hm266CVu2bMFvfvMbnHzyyfx7pCCUANIUw6TkDBNC+njjub2SdZRyVFdXo7q6OufdXrm6+Cf1Wp3veIvJGSac9zUaDZYvX86LYk6nkxfFuLSu6upq2Gy2tNY6EosYxpHpGAsLC3HQQQehoaEhJv3O5XLB5XLx4mVRUZGoBCYxxQoszsmmVqthtVpRX1+Pnp4esCzLN0sYHx/Hnj170N7enlRduGTh1vNcTWTS4QSu6OMtLLbPiWJysX0ZaezQZXIKoRgGAKOjo7IYRgDhcDiivo7P58PHH3+ccLFpYHZxHV3XS6vVZv3hW1xcjOuvvx7nnXcebr31Vjz++OMIBoPo6+vDFVdcgfvuuw+nnHIKjjjiCNkZlsNwCyXuW8dcXjiR6gxLh9trYGAAdrsdAFBRUYGysrJ0DkEmjZAuLMWD9JijnWHR5Ofn44ADDgBFUXA6nXA6nfxawOPxwOPxwGg0wmazRazd0hFfttcKc0FCjFz6nc1m42u9ceuVnp4e9PT0oLKykv+iUgzigNhqhi0lXqVSCZPJhNraWv6ZxaX4c3XhGIZBXV0dLBZLSvdFXNxi28sI1+PcF+jzFduXRTFpIq6rWkbmfwgXVCMjIzAajVmMJpZoh1Q2Oy2lg5mZmbhuL+GDJxAIzLlBVavVMaKXXq8n/kFbVVWFu+66CxdddBFuuOEG/OUvfwEA2O123H777WhsbMTll1+OAw88MMuRph8pimHCMee6GBY91kyzVLdXMrW9hoaGUh0+kZAkamYCsdyfpIthibqa8vLy0NDQAKvVis7OTjgcDl5Y6evrQ19fHyoqKmCz2WAwGFIWHwlC00KQ5GAqKCjAsmXLQNM0f56ENak4hCIBqYitZlgq4lUoFKisrERlZSWGh4fBsixfFy4QCIBlWTgcDphMJlAUBb1ev+S4xSqGCb+gz8vLS6jYPjB7j4ptrDKLRz7TMqJDoVCgtLSU//vw8HAWo4mPcBIVc0fJUCgEv98fI3pNTU0l9H5uQxq9Kc1EimM6aWxsxBNPPIFPP/0UGzduxAcffAAAaG9vxyWXXILXX38dzc3NOS2KSVEME16zXM0JKZBuEYVze/l8voh5JtG5s6CgIEJcLyoqIsJRKpN5xCj4kS6GJSs2qdVq0DQNi8WCrq4usCzLrxkGBgYwMDCAsrIy2Gw2lJWVLXnMYhDDSIwxLy8PNpsNVqsVLpcLLMvyNamA2Xn5o48+Ak3TqKqqIvLaJElkTIRUO9lKS0v5unAOhwPd3d280MOlwFZVVYGiqIh9UzKEw+GcEcOAuYvtA1+mgYrxOSKzeMR1VcvI/I9oZxhpiE0M41wY0elHyaQ4chvSkZERBAIBqNVq/N///R8xC790cNhhh+Gtt97C22+/jV//+tfo7OwEALz99tt455138LOf/QzXXXcd6urqshxp6hEuKKQihmXbLZVJ0pEmGd0tlhPZE3V7cfUDhcI6Vz9wKZCaEiqzNEjcvMdjoTTEbLPY+FQqFV/HqLu7G3a7nRdbhoaGMDQ0hNLSUthsNlRUVCx67KQfPyBStCFtTaRSqWCxWFBXVwe32409e/bw/zY6OoodO3ZkrFB7sohZDEulsFRYWIiVK1fyHSi7urr4z+rt7UVvby/KyspAUVTS9xpXBzDVMWeC+Qr/zyWKkXR9y2QGcV3VMjL/Q/gNhyyGJUcgEIgQvbg/JxqnSqWKm+LIPWg++eQTjI2NSeaholAo8N3vfhdqtRrvvfcenn32WfT19SEcDuOZZ57BSy+9hAsuuABXXnllztUiUiqVCAaDkhHDop1hucxSBaJgMBiT4hidSj0fQrcX95MJt5cshokb0l1W8SA95qUWf1epVKivr4fZbIbb7YbdbucF8OHhYXz++ecoLi6GzWaD0WhM+hiQ6LqKRgwdGpVKJcxmM/bu3YtwOMwXGQe+LNTe0dEBiqJgNpuJGIfYxLB0p3VqNBo+BbarqwtOp5N3ZXICdGFhIWiaRnV1dUL3S7oEvEwgdIbNFbuw2D4395A4D8ukD3Fd1TIy/4N0MUz4UM5WQfVQKISJiYkY0Utog58PhUIBnU4XIXoVFhaioKBg3gcFN3Zh++JcR6FQIC8vD8cccwy+853vYMeOHbjzzjsxPDyMqakp3HvvvXjiiSdw5ZVX4oILLoBWq812yCmBE8Ok2DQg10WTRMWweG6vsbExTExMJPQ58dxehYWFRLdvlyEXMd6XpIthqXJecWJLbW0tPB4P7HY73xVvdHQU27dvR1FREb9RT/SzxCaGkRoj8GVzGGDWbdTY2BhRqH1ychL79u0DwzCwWCyor6/P6lwtpQL6yZCXlweapmG1WuF2u8GyLMbHxwEAY2Nj2LVrF9ra2mC1WmE2m+cVucQshs3nDJOR4RDXVS0j8z+EYtjo6GgWI4lPJp1h4XAY09PTMXW9/H5/wu6VgoKCiA0pV+drsd8CcwSDQaIXfqlEpVIhGAxCpVLhsssuw7p163D33XfjoYcewuTkJIaHh7Fx40Y8/PDDuO6663D66aeLYvE2H9y5zXWXFIfUnWHRrtJUuL10Ol3WBYBsf75M6iBVWJovlqU6r9JNqo+pUqlEbW0tampq0NvbC4Zh4PP5AMx2od65cyc6OjpA0zRqamoWPCZiEJpITpMUEu1c4gq1e71e2O12vsD+9PQ02tvbwbIs6uvrYbFYstIoiotXLB0AMy0scQK0yWRCX18f7HY7byCYnJzE/v37wTAMfw7jlRwQsxiWiDMMkEaHcJm5EddVLSPzP0h3hqVLDOMKTUfX3BFO+POhUqliRK9UuzCixTCpfBsTLQwZDAa0tLTgvPPOwy233IKnn34aoVAIbrcbF198Me677z60tLTguOOOE+0DWGpimFScYVwNQQ6v14uPPvooKbeXsJh9OuaZdJHL51Ume8y30SJVwOPg4uPSiVKFQqFAdXU1qqqq0N/fD4Zh+PXc+Pg4du/ezYtiJpNpThFJDGKYGNIkgbnjNBgMOOSQQzA6Ogq73Q6PxwNgdn1rt9vhcDhgNptBUVRGne+cGCYWkSZb3S8VCgWqqqpgNBrh9XrBsiwvbM7MzIBhGLAsC7PZDKvVCp1Ox79XzGIYF7tCoUjqviNxHpZJH+K6qmVk/keui2HhcDhuimOim1EAcVMcNRpN2id5ElJEswE37ugxm81mPPDAA7jkkkvQ3NyMv/71rwCA/fv347TTTsPXvvY1tLS04PDDD894zEtFamJYLjrDAoFAxDzDdXQUXsfzdY/VaDRxa3uJaTEpplhTRa6OmXRhKR6kxyzstJYOFAoFjEYjKisrMTg4CIZh+LS8iYkJ7N27FwzDzFmrSmxiGKkxAgvX4CouLsbq1asxPj4OlmX57oWhUAidnZ3o6upCTU0NaJpGYWFhxuIlWWAUku20ToVCgbKyMpSVlcHn84FlWfT09MScw+rqalAUheLiYlGnGnJGAbVandDcSuL8K5N+ZDFMRpREi2Gk2VuTEYTipTiOj48nvNnOz8+Pqbmj0+mytjgQCoFSFMNCoVDc67GpqQnPPfccPvzwQ2zcuBGffPIJAODDDz/Escceix/+8IfYtGkTDjjggIzHvliEYhhp92A6ELMzLFpg534SrSHIub2iOzmKbXG8EGI7rzJzI5b5SOpiGIdCoUBFRQUqKiowNDQEhmEwODgI4MtaVXa7ne9Qya01xCA0iTFNcr449Xo9373Q4XCgq6uL7zrodrvhdrtRVVUFmqYjur+nK14ximHZdlkVFRXhoIMOQmNjIxwOB1wuF38Oe3p60NPTg/LychQVFfHvEctx5uCOd7LrFBLnYZn0IYthMqJEjM4wLsUxWvSanp5O6HdGF5rm/hwvxz+bCB+WpHXSTCfChWMoFJpz0fC1r30Nf//73/HGG2+gubkZ7e3tAIBvryu8AAAgAElEQVTXX38db731Fs444wxcc801qKmpyUjcSyFaHMr1BYRYnGFCt5dwrklUnNZoNNDpdBgaGgIwmyKzevXqnD+/uY4UhD4xjpF0MUyYJpkpOPfK8PAwGIbhU7qmpqbwxRdf8KJYfX29KMQwsaRJJtudUaPRYPny5aBpGk6nE52dnbwbp7e3F729vSgvLwdN0ygrK0vpNRQOh0UnhmUrTXI+tFotmpqaYLPZ0NnZCafTyZ/DwcFBXpAGyIk5EcLhcIQzTEZmLuSrQ0aUkCyGCSdgYLZ1+H//+1++lXgiaLXaGNFLLKlHUk+TBOYXw4DZTcUPf/hDHH/88XjyySdxyy23wOPxIBgM4rHHHsOzzz6Liy++GJdffnlav1VdKtECIKkbkVRBmjNsqW6v6BqC3I9arcb09DT+85//8K8Tw9yzWHJ5bFKDdGEpHqnq1pguuPiyEVtpaSlfq4phGPT29gKYTX/iCrhrNBr+9aQ+g8Qg2AGLF+3y8/PR2NgIiqLQ1dUFh8PBp9dzgkpJSQlsNhsqKytTci0lK9yRgLCGFWnXQX5+PhoaGkBRFLq7u8GybExpli+++AKBQAAmk4n4Yy7m9E6ZzCKLYTKipKCgAFqtFhMTExgdHc2aK2VmZibGfRHtwJiZmZmzwH1eXl5MXS+9Xk/8Q2Y+pCqGCRc2iTYOUKvVOOuss/CTn/wEDz30EO6++26Mjo5iYmICd955Jx599FH8v//3/3DuuedmpVPTQkQLgLlONp1hMzMzcTs5JhqHRqOJKGa/kMAer5ukFJDSWHMdEoWleIilm2Q2YysuLsaaNWswNjYGhmHQ09MD4EsXLAepbnSxCDdLjVOtVoOiKNTX18PtdsNut/OCysjICLZt24bCwkLQNI3q6uolXVMkuqwWgrs+SY5XpVKhvr4eZrMZvb292LdvH5/BMjU1hdbWVnR0dMBisaC+vp5YoSkZMSz6uS+WZ4dMaiD3bpSRWYCSkhJMTExkxBkWCoX4jahwQ5psimO06JWfn59zk65UxbCljFuv1+PXv/41zjrrLNxxxx3YsmULZmZmMDQ0hN/85jd4+OGHcf311+PUU08larMU7QzLdTLhDAuHw/D7/RHF7JN1e8Wr7ZXs4lssKaGpINfmYClDqpg53zVGupstm86waAoLC3HwwQejoaEBdrsdbrc74vh98sknqKurA0VREY6xbCMWZ1iqRDuVSoW6ujqYTCZ4PB7Y7XZetBwbG8OuXbvQ3t4OiqIW7TISi8AoREzdL5VKJWpqajAwMIDu7u6If5uenkZ7ezvsdjvq6upgtVqJut8ARJgQEj3eJMxxMpmH/LtRRiYOCoUCJSUl8Hg8KRXDwuEwJicnY+p6+f3+hBfZXHc1r9fLO4SOPPJIohdAqUTqBfSBxYsH5eXluPXWW7F+/XrceOONeP755wEATqcT5513Hu677z60tLTgmGOOIeKhLTUxLNUCUbSzNNnmGcJ06lR3jCXh+soGpIopMskjlmuYdDGMBGdYNHq9HqtWrUJDQwM+/vhj/suCUCjE164ym82gKAo6nS7L0YpTDEtFnEqlErW1taipqUF/fz8YhuHX7BMTE2htbQXDMDFNEZKNVSxiGOdWEku8QKTDau3atXC73fB4PABmz4HD4YDT6URtbS0oispIF9FEWEqaJInzsEz6kMUwEeFwOHDggQdG1J7atGkTmpubsxdUluDEMAAYHx/HzMxM0mlkwrQjofiVqICjVqtj6noJHRgff/wxnzJJ8uIn1UjVGRadJrkUrFYr/vjHP+LSSy9Fc3Mz3n33XQDArl27cNJJJ+Hoo49GS0sL1qxZs6TPWSpSE8MW6wzj3F7RwhdXU2UhUuX2SgappknKiBvShaV4kB5zprpJLgatVgu9Xs+LYUqlku9u3NXVBZfLhdraWtA0Db1en7U4xSLcpCtOhUIBo9GIyspKDA0NwW6384XZhU0R6uvrYbFYEmoMJRQ7SD6mHKFQiL+XxOAM4xAeZ4PBAKPRCL/fD5Zl0d3dzd9v3d3d6O7uRmVlJWiahsFgyGLUi3OGAWTOwTLpRTx3owzWr1+fVBH2XEYohgHA6OgoKisr4742FArxG1Gh6JXoRlShUMSkOHJdHOebNIVtv6VQXJxDqmJYOsZ98MEH45VXXsF7772HTZs2Yfv27QCA9957D0cddRR+/OMfY8OGDaBpOiWflyxSE8MScYaR7PZKBimJYfLiN3cQ47VKshgWDoez0k0yGYRz69e//nV0dnais7MTwWAwYpNeU1MDmqZRVFSU1RhJXgumW7RTKBQoLy9HeXk5RkZGYLfbI5oiMAwDh8PBu/rmS70Ti8DIIcYaZ0CkGMbFrdPpcOCBB6KhoYF3YnKv6+/vR39/P0pLS0HTdMoaJiSLUAwjta6ZDBmI526UOE899RTefvvtbIdBFEIxbGRkBOXl5XA4HPj888/h8/lw+OGHY2xsLOkUx+i6XjqdblGLl2hxhOQFUCoRjpvUYrbpIJ3C0NFHH42tW7filVdeQUtLCxwOBwDgpZdewmuvvYazzz4bV1111ZyCcLqQmhgWPd54Be0TFdnVanWMwJ5ut9diEaPAsFikMlZShY2lQrKwNBckd5Mkvbg/EHn8NBoNli1bBoqi4HQ64XQ6+XVIT08Penp6UFVVBZvNhuLi4qzESOpxBBbfTXIxlJSU8E0RWJbl678Fg0FeYDGZTKAoKq6rT2zikticbBzC1M7o+amgoAAHHHAAaJqGy+WCw+HgXZrDw8PYtm0b9Ho9KIpCbW1tRq/9eCLeXIjxuSGTOsifPWQwMDCAK664AgDQ1NSEkZERuN3uLEeVXXw+H6amplBcXAyz2Yx169bB4XBgfHwcAFBbW4sHH3xwzvcL046EG9JUPlCFvysQCEjmmwnZGZaecSuVSvz4xz/GD3/4Qzz22GO47bbbMDAwgJmZGfz+97/H008/jcsuuwyXXHJJxmo2SEUMm5mZgc/ng9fr5f9fW1tbwsKJTqfj5xquo2M23F7JoFAooFAoIpwhuQrJ50FGXITDYUxMTMQ4Q7VaLaxWa1yXBMkbMZKFOg5hGicXY35+PhobG3lRzOFw8E6R3t5e9Pb2orKyEjabDaWlpWmPUSwuplTXDEuEwsJCvv4by7JwuVx86p3L5YLL5UJ1dTVomo4QMMVyTDnEJt5xJNIBU61Ww2q1or6+Hj09PWBZlm+YMD4+jj179qC9vX1RteEWy2KcYaTOcTLpRTx3o4S54oorMDAwAAB4+OGHccYZZ2Q5oswRCATQ1taG3bt3Y/fu3di1axd2797NO2MAoLW1NeZ9Ho8HU1NT0Gg0ERtRTvQqKChI+6QXLYZJBVkMS68wlJ+fjwsuuACnn3467r33Xtx///28Q+nmm2/GH//4R1xzzTU488wz0y7A5poYJkyp5jaxPp8vbtfYeAKRsI6gUGwXw0I9HlIRw4Tk8lhzeWwcmRSWgsEgP0cIxa94z72JiQkMDQ2huLgYDQ0NEaIYyWKYmJxh8eJTq9Ww2WywWCzo6uqCw+Hg3btcOld5eTlsNhvKysrSHuNccZJCNgUmrVaLFStWwGazxaTeeTweeDyeiHpUYnNaJeNUIgku7kTWk0qlEiaTCbW1tejv7wfLsvyXiFxtOIZh+NpwydZ6XkzcQGLHm7S5VyZziOdulCjvvPMOnnrqKQDAWWedhW984xtZjij9hMNhnHvuudi2bRv27duXcNpReXk5GhsbsWzZMqxcuRKHHnooysvLs7bwkKoYJtVukqksoJ8IRUVFuO6663Duuefi1ltvxeOPP45gMIi+vj5ceeWVeOCBB7Bp0yaceOKJaXvIi1kMm56ejlvbK1HBIC8vDwaDIUL4yoTInknibdZzkVw6ZzJfkqrzGg6H+flCKHwlWsOVE5WB2fqm27ZtQ3FxMWw2G4xGI9GCk9icYXOhVqtBURTq6+vhcrnAsiyfzjU4OIjBwUEYDAbYbDaUl5enfKxiEcMymSY5F1zqHUVR6OzshNPp5L+Q4gRMg8EQkTopNjFMDPEC4NNWgeRi5homGI1GeL1esCyLvr4+ALPHwW63w+Fw8B0o09HcYrE1w0id52TShyyGEYzf78f69esBABUVFbjjjjuyHFFmUCgU+PDDD7F///64/85ZqpVKJT744AOYTCZcdtlluPDCCzMc6fxI1SGVaVGIFLJ1vquqqnDXXXfhoosuwo033ohXXnkFAMAwDM444wwccsgh2Lx5M77+9a+n/LPFIIZFu724n3hur3gI3V4A4HK5AAB1dXWwWq3pCpsIpCKGyeQOS71Wo+cLTvwSbqzmo6CgAEVFRREiuU6ng9frBcMwGB0dBTArim3fvh1FRUUR9U9J24iRLNRxJNPtUqVSwWKxoK6uDm63GwzDYGJiAgDg9Xrx2WefoaSkBDabLaWFv8WS0kdSnHl5ebDZbLBarTECptfrjShbQOq1KUSMaZJCAW+xmQYGgwEGgyGmNlwoFOLTYKuqqkDTdMRcuFQSjV1e38iI426UKBs2bADLsgCAO++8E+Xl5VmOKHOsWrUKbW1tWLZsGVatWoVVq1bhoIMOwqpVq2CxWKBUKvHUU0/hgw8+QHd3d8Ib20wiVWeYQqGASqVCMBiUlBiWbWGosbERf/rTn3DppZdi48aN+M9//gMA+Pzzz/H9738fxx57LFpaWrBy5cqUfWa2xxzNUt1eXEr1XG6vwcFBXgwjYbyZQkqLRSmNNRdJJuVwKZ1fuS7T0cJXvE2XQqFAVVUVjEYj+vv70dHRwYtiPp8PPp8vyVFmDjE5w5KJT6lUwmw2o7a2Fh6PBwzD8DVnR0ZGsG3bNhQVFcFms6GqqmrJYxeLM4wkMYxDKGD29PTAbrfz54pj3759mJmZyXiR9mQQY5pkKmPmjAyNjY18Gix3vXF1/MrKykBRFCoqKpZ8zwm/wEikgD73eaTOczLpQxx3owT5/PPPcc899wAAjjrqKJx55plZjiiz3H///XjiiSfmbassLHo6PDycibCSQqpiGABeDJPSuElxAh566KF488038fe//x2bNm3C3r17AQB///vf8Y9//AM//elPcf3116Ourm7Jn5UtMSxVbi+umH2itb2E45WCaCIVZ5gUF79SGLPw+p2cnIxJc+RcJguRl5fHi12c+LWYLtNc6lBlZWWMKMbR3t4OlUqVEgEmFeSaMywapVKJ2tpa1NTUoLe3FwzD8OKkz+fDjh07oNfrYbPZUF1dvehjIBTsSDivc5GNAvqJIqxH1dvbi9bWVv6ZPzk5iT179qCjo4Mv0k6KmMchxjTJdAh4XMdXmqb5On7ceRwaGsLQ0BCKiopAUdSS7jkudqVSKZrjLZMdZDGMQAKBAM4991wEg0Hk5+fj4YcfznZIGcdoNC74GqGdNnpBSQJSF8MA6aZJZts1pFAo8J3vfAff+ta38Nxzz+Gmm25CV1cXwuEw/vznP+Pll1/G+eefjyuvvHJJjtNMiGFTU1MRxezHx8cTdnspFIqYTo6FhYXIz89f1IZE+J5sn+NMIBUxTIiUxpqLCJ85AwMDGBwcnLOofTyi3aFFRUWLni/mIloUa21t5YW5yclJ7NixA4WFhbwAk03xRAyOpqWIYRwKhQLV1dWoqqqKESrHx8exa9cudHR0gKbpRbmPFlN3KRuQUDNsIbhz1dfXB7fbHfFvk5OT2L9/PxiG4bsbktLJXexpkqmOOS8vDzRNw2KxwO12g2VZvg6jz+fDrl27+A6UZrM56euRc4YlGjfJIrVMehHH3Sgxfvvb32LHjh0AgKuvvhrLly/PckRkYjAY+D+PjIxE2FxJgBSnUDaQohhGYq00lUqF008/HSeffDK2bNmCO+64A8PDw5iamsJ9992HJ554AldeeSXWr18PrVab9O9P5ZhDoRDfFVP4k2itHqF7Q1irJ5ULetkZlpuQ9NyQSRxOKI9Oc+SY70sylUoVM18UFhZmVADgRLHR0VF0dHRE/NvY2Bh27twJhmGyKoqR3OkSQES321SIdUKhcmBgAAzD8JkHfr+fdx/RNA2TyZTw9ZIKwS4TkJgmORfCWFevXo3u7m709/cDmBVC2tvbYbfbUV9fD6vVmtbOhYkgRmdYMqmGi0WlUqGurg5msxm9vb1gWRYjIyMAZrvw7tu3Dx0dHbBYLKivr0d+fn5SsScrhpI4z8mkF1kMIwyGYdDS0gIAaGhowLXXXpvliMhFmCbJTZwkITvDwBfJJH0BmApIFj81Gg0uvfRSrFu3DnfffTcefPBBTE5OYmRkBJs2bcLvf/97XHvttTj99NOTWvAsxhkm7Mwm/PH7/Um7vYQ/qXZvzPXZHLIzLDeR0ljFQigUwsTERESKYzJp0fGK2mu1WiI3PQ0NDejv7+fXNJwo1tHRAZvNhpqamozGTbozLF1pnAqFApWVlaioqOCbHwwODgKYdR+1traCYRhQFJVQSp7YxDClUknk/SFEuM4qKytDdXU1fD4f7HY7enp6+NewLAun0wmz2Qyr1QqdTpeVeKVeM2whhO7MoaEhsCyLgYEBALPCVkdHB1iWhclkWvA8hkIh/voQy7GWyR7yFUIYF1xwAd/Z5qGHHpq3ZpbUkcUwchGOPRgMEr8ATAUkpUnORWlpKZqbm3HeeefhlltuwVNPPYVQKAS3241LLrkE999/P5qbm3H88ccntBBeSAxLh9tLr9dn7XqSnWEyMuklEAjEdHJMpqh9QUEBn3JYW1sLm81GTJrUXAjvr9LSUthsNgwODqKjo4N3JXGpepxTLFOiGOnOsHSLdQqFAmVlZSgrK4PX64XdbufdR1NTU9i/fz/sdjufkjfXxlssaZJiiROIn3ZYVFSEgw8+GI2NjWBZFi6Xi/9StrOzE11dXaipqQFN03yH6GzGSzrZEPAUCgXKy8tRXl7Oi5sejwfhcBjBYJA/j9XV1aAoCsXFxfPGvdD8H72+IXGek0kv4rgbJcJjjz2Gd999FwDw85//HN/+9rezHBHZaDQaaDQaTE5OYnR0lLg0yWhBSEoIF1KBQID4zUgqIDFNci5MJhPuv/9+XHzxxWhpacFbb70FANi/fz9++tOf4ogjjsDmzZtx+OGHz/t7hGOemZnh6/Msxu2l1+v5YvbCTo4kITvDchOSnhvphKTzKCxqLxS+FlPUnqvtpdPp0NfXh9bWVgCAXq8n4tmz0PUVLTgpFApUVFSgvLx8QVFsKQWmE4H0bpKZdK4ZDAYccsghGBkZgd1uR29vL4DZLsZtbW1gWRYWiwUWiyXmuhOjM4x0uFgVCkVMvDqdDgceeCBsNhscDge6uroQDAYRDofhdrvhdrthNBphs9ki6g+nEzGmSWbbzcaJmwcccAAcDgdcLhd/Hnt6etDT04OKigpQFIWysjJ+jsp23DLiQr5CCKGvrw+//vWvAcw+cH/3u99lOSJxUFJSwqd7kUa0ICQlSE4ZTBfZ6qy4FJqamvDss8/io48+wsaNG/Hxxx8DAD766CMce+yx+MEPfoDm5mYccMAB/HuCwSD8fj98Ph+8Xi///z0eDzwez4KfmZ+fzxez5/67mM5s2UB2huU+UhprpggGg3Edook+FzNR1D6bzOW+EopiQ0ND6Ojo4OdcYVF3zimWjjmU9DTJbMRXUlKCNWvWxKTkCVO5LBYLrFYr8vPzeWdSJmNcLFycYhBrEnGxaTQaLF++HDRNo7OzE06nk3em9/X1oa+vD+Xl5aBpOkJMSQdiFGiScVilE61Wi6amJthstpjzODAwgIGBAZSUlICiKFRVVUVkHyQad648T2SSRxx3owS47LLLMDQ0BAC49dZbE+qmKHUUCgVKSkrQ29tLpBjG1VwIh8OyGCYBuG8nhbUKxMIRRxyBd955B2+++Saam5vR1tYGAHjjjTfw1ltv4aSTTsIZZ5wBnU6XtNsrXm0vsSJVZ1iuI5VxZoLp6emY2l6JzhkqlSqi6+tiitqTntYXj4XcV1zaUFlZWYwo5vf7sXv37oj0yVQKLumqyZUqsinWca6VhoYG2O12uN1uPpXLbrfzdaosFgv/HtJFJjGlSXLr6kRizc/PR0NDA6xWK7q6uuBwODA1NQUAGBwcxODgIEpKSkDTNIxGY1rmDjE1J+AgTcDjziNFUXC5XHA4HHxpoZGREezYsQM6nQ6VlZX8e+QC+jILkf0rWwYfffQRnnvuOQCzm9LzzjsvyxGJA04MA8DXISIprUqhUECtVmNmZkYWwySCSqUSpRjGOTfWrl2LJ554Ai+++CIeffRRDA0NIRQK4aWXXsLrr7+OE044ASeddBL0en3M78jLy0NNTU1EJ0cSN09LQXaG5T5SGutSCIfDvEN0sUXthU6vdBS1F8umJlEBT1hLZ3BwEAzD8F+iCkUxmqZRW1ubkvlXTpNcGL1ej1WrVsFms0XUqQoGg3A6nejq6sp6jIkgJgcbsDjhTq1Wg6IoWCwWdHd3g2VZ+P1+ALNiyvbt21FYWAiaplOegsztA5RKpSiOL0CeGMahUqlgsVhQV1cHj8cDlmXh8/kAzM6FTqeTf20y8xaJc5xM+iHnypYwXN0BYFYYS2aSbGlp4btPAgDLsrBarakMj1iEYhgA+Hw+osQwYHbCnpmZEZ04slSkKoZx9y6prqFwOIypqam4nRyF/N///R8OO+wwvP7663j55Zfh9/sxPT2NF198EW+//TbOPvtsnHnmmSguLsaePXsAAMXFxWhoaMjGsDKGVJ1h4XCYuJqMMksjmXO51KL20Q7RoqKitKXciFHMXIybjRPFOKeYUBTbs2cP7xRbqigmO8MSR1inimVZdHV1IRQKRcTIPW+z1dFwPsTmXFpKt0ClUom6ujqYTCb09vbCbrfzYsrY2Bh27dqF9vZ2UBQFk8mUkuPBCUskiUoLQaoYxqFUKlFbW4uamhoMDg7CbrfzcyEHy7IIBoOwWq1xm9KJ8Zkhk1rIu7JlZJJAKIaNjIygoqIii9HEwj08AoGApDaTUm0ewC2YSBjzUuv0FBUV4fzzz8dZZ52FJ598Es888wyfAnXPPffglVdewbXXXguj0cinh+Y6UnWG5TrCcUrhvM5FdFF7TvxKtKi9Wq2OcHplo/urGNMklyI4lZWV4Stf+QqGhobAMAwGBwcBABMTE7woRtM0TCbTos6D7AxLHo1Gg6amJtA0DYfDAafTycc5OTmJf/3rX6itrc1KR8P5EB5L0sWwUCjE3zdLiVWpVKKmpgbV1dXo7++H3W7nm1VMTEygtbUVDMPAYrHM2y00EZYi3mULYe0tkuPm6itWVFRgZGQEu3fvxtjYGIDZa4W7D2tra0FRVNz7jmteIiM9yL2yJUReXl5S3Uy4zonAbKqBUOkmZTGQCRQKBUpLS/m/cw8wkuAeHpz9nPQFRqqQavMAbtzcQi0TD1ZuAxstfEW7veZCqVTynRy5ovbRtb0OO+ww/OpXv8KNN96I559/HuFwGJ2dnVi/fj2sVivOPPNMHHXUUekaIjFI1RkGQFJivhQIhULw+XwxaY6JztdarTZG+CooKCDqGiEplvlIhYBXVlaGsrIyeL1edHR0RIhie/fu5Z1iyYpisjNs8RQUFGDZsmUwGo18cxoOrqNhdXU1aJpGcXFxlqL8EjE5w1Idq0KhgNFoRGVlJbxeL+x2OwYGBgAAU1NTaGtrg91u57uFLqb2aTI1zkhhvo6dpFJSUoKqqipeDONqN4fDYXR3d6O7uxtGoxEURcFgMGQ5WhkSkMUwAvj+97+flJBjtVr5fOhrrrkGzc3NaYqMfIRiGIlF9IXfpAQCAVE9BJeC1NMk05VWFgwG+U3r+Pg4fD4fxsfHE97ACuv0cOKXVqtNaJFjsViwZcsWXHrppWhubsY//vEPAIDD4UBLSwvWrFmDu+66C2vXrl3SGEmG++aQO7+5jlQcU2IRTRbL9PQ0xsbGIrq/7t27N6H3KpXKmBRHvV5PrEtAjNdpKt1sBoMBhx12WIwoNjk5yYtiNE3DbDYnNO/LzrClI4yrpKQEfr+fd9xwXZiNRiNomo5Y02YaMYlhwjVPKmNVKBS8sDwyMgK73c6XsgkEAmAYBg6HA2azGRRFxU27i4fQyUbq3BkP7jpVq9VE3v9zIXS0rV27Fl6vF52dnfx1w3USNRgMsFgsfFaRmMYokzrEc0fKyMRB6Kgj0RkmVVFIHvfsuBe7OI+XrjQ2NsZ3zVkIzu0V3ckxFXV6DjroILz88st4//33sXHjRmzfvh0AsH37dhx99NE4+eSTsWHDBthstiV/FolwYpgUnWFSQMzj5IraR6c5LqaovbARhpg2CGJPk0xVzEJRjGEY3uUyOTmJ1tZW2O32hEQx2Rm2dIQxcuelq6sLLMvy9ya3OS8vL0dDQ0NWHCtiEsMyEWtJSQnWrFmDsbExsCwb0S3U6XSis7MTJpMJFEXFbSokhPTaW3MhxjpnQKQYxnWXpGk6ppOo1+uF1+uFXq/HYYcdtuB5lMlNxHV1y8hEIfwWbXR0NIuRxCfaGSYVpF4zDEg8jS4QCMSt7ZXocYu3gU3U7bUUjjrqKGzduhW33HIL/vSnP8Hj8QAAXn75Zbz22ms466yzcM0110S0uM4FuPpoYhZNEkUqYphYRBMhgUCAn2MCgQA+++wzjI2NJTzvaDQalJaWRswbi0n9kVk66RTwDAYDDj30UAwPD4NhGPT39wNIXBQjXWwiPT4gNkauo2F9fT1cLhdYluXr8g0ODmJwcBAGgwENDQ0oKyvL2PwkhmPJIVwfpVuoKSwsxKpVq9DQ0ACHw8E3RgiHw3C5XHC5XAumu6bLyZZOwuGwaMUw4fHmvgQWdhJ1u91gWRbj4+P860hrwCaTOcR1dcvIRCGLYWQiVWeYcAEZPW6S3V6LRalU4uijj8ahhx6KrVu34vnnn8fAwAACgQC2bNmCP//5z7j00ktxySWXoKioKAlRTFYAACAASURBVGtxphJuYyI7w3IT0sYp7AArrO81MTHBf/sdDAbnfP4Ji9pPTk7yYkhjY2POCdUAmc6wheLIRMylpaU45JBD5hTFhOmTwuc3icdTCOlpnMDcLiaVSgWLxYK6ujp0d3fDbrfz6wGv14tPP/0UJSUlsNlsqKysTPv4ZGfY/Gi1WjQ1NcFms8HhcESk3XHprhUVFaBpGmVlZXPGKxZhSaypncD8hf+VSiXMZjNMJhP6+vpgt9thMpnkAvoSRlxXt4xMFGIpoA/IYpgUEI57ZGQE3v/P3nlHx1Wda/850zRd0qi3GU1xxd0pJjchF2xCEnDAXALkBmJIgMRgJxBghRJsyxhiwqWXBYQOuRAnAS6QhBAgF8h3IQbbci+art6lKSqjKd8fyj4+UyTNSFP2mTm/tbTAtkZ695x99tn7med938HBWbu9uMXsaU5XEolEkEqlOPfcc3H77bfjkUcewSOPPMK63X71q1/h6aefxi233IIrrrgip+JdOuDWhct3CkUMo+W+CofD7H3DFb5SLWrPLWzPLWrvdDpZEaQQoOW6zkQ2HTlEFBseHobVamXnw/j4OI4dOxblFBOLxdS7hWiPD5g5RpFIhIaGBtTV1aGzsxM2m41tgDM8PIx9+/ZBq9XCZDKhqqoqY/NaEMOSQyaTYf78+TAajWzaHUl37evrQ19fH0pLS2EymVBeXg6GYXjpDONraicQ3axgqnWBNE0oKyvjzbNCIDPwa3YLCMTArRlGozNMEIXyWwSMRCIYHR1li9kPDAyw/3bs2LEZX0+KU8d2cuSTYEQ2GuFwGBqNBrfddhuuuuoq7Nq1C88//zyCwSB6e3tx44034rHHHsO2bdtwwQUX8HbzITjDBNIBKWrPre01MjKS1PtM1g2yzkqlUpxxxhm8O7BkAtqdTInIRczFxcWsKGaz2dDT0wMgWhQzGo1R+xYa3898EMO4/1ZXV4fa2lp0dXXBZrOxHfE8Hg+am5uhVqthMplQU1OTkQY9ycRJAzSIS1KpFCaTCQaDgXX2kXTXwcFB7N27FxqNBiaTKSpGvqzTiVIN+QK38H8ykHuJxjVOIPPw444UiMLpdOY6BGrgFhkdHh7OSAe/uSA4w/JHBAwGg3Epjn6/P+nxyeXyhLW9aJqvs4ErhhEqKytx//3349prr8XOnTvx2muvAQDsdjs2btyIVatWYceOHTjjjDNyEvNcEJxh+U26x5moqL3P52ML+M6ETCZjXV6xLlHyfCF1iFKB7+vOVPBxnuZSwCsuLsaqVavg8XhgtVqjRLHjx49HPctpFEj4IIal6mJiGAY1NTWorq5GT08PbDYb+2Gvz+fDwYMHYbVaYTKZUFtbm7ZxC86w2SEWi6HX61FfX4/Ozk7Y7Xa2FpXX68WBAwei6lHxUQzjS8wEEjvfRDyB3MCv2S0gEAM3TXJ4eDiHkSSmUMWw6Wpn0Q5xe8UeXsknfsmi0+lQXl7OHmD5tplIFq44FA6Ho669xWLB888/jy1btmDr1q34+OOPAQD79u3Deeedh3Xr1mHHjh1YsmRJTmKfDYXkDOPCR5EhWdIlQJBmGNwUx2SL2jMMA6VSGZXiKBS1Tx3BGTY7tFotK4rZbDZ0d3cDiH5+d3V1obi4OOfiAxc+iGGzjZFhGFRVVaGyshJ9fX2w2WxsOZCRkREcPnwYNpsNRqNxxq6gyUCTwDQTNNbg4jr7SC0qci7hfvgxNDSEYDBITdxTwVcxLBwOs/Njprhj9zV8eWYIpBf+zG4BgQQIYhidMAwDsViMUChEtRiWbreXx+OB2+0GANTU1KCqqiqT4VMBdwM+lWCyevVqvP322/jb3/6Gbdu24ciRIwCA9957D++//z4uueQS/PKXv4Rer89KzHNBcIblN8mMk1vUnlvfK9lmGKSoPbe+l1KppP4AKpAZaBDDCFqtFitXroTX64XVamVFMQBwu93o6uqC0WhEQ0MDFQdk7nuXb2IYgWEYVFRUoLy8HAMDA7DZbGxJhtHRUbYBArkus11HuHHSvhbRLNxxRcz+/n7Y7faoEhrd3d0YGBiAwWCAwWCg1r3EVzGMz+mdArmBP7NbQCABCoUCRUVFGB8fF2qGUYZEIqFGDJur20ssFifs5Bi7QeB2sKFh3NmAu7kPh8NTbkwZhsE3vvENrF27Frt378bOnTvR2tqKSCSCV199Fa+99hquueYa3HjjjSgrK8tW+ClDDquRSIS6tOx0Uyhi2HTXkFvUnit8Jfvhhlwuj0tzlMvlOZk3+XwNCTQJS8lCY0dEjUaDlStXYv/+/VGCWCAQwIkTJ+BwOKgQxfjgDEuXcMMwDMrKylBWVobBwUHYbDb09fUBOJXWarfb0djYCL1en/J14VPNMJrFMALDMCgvL0d5eTmOHDmC1tZW9t8mJiZgtVrhcDig1+vR2NgYlUpJA9N1ZKQZbtzJimG0rLsCuYE/s1tAYAqKi4vR09Mj1AyjDLJBybYoNDExwTq8Uk1VAk4dXrlF7ZOt7RUrDBUCqY5ZLBbje9/7HjZs2ICnn34a9957LwYHBxEIBPDoo4/ipZdewg033ICf/OQnUCqVmQx9VsQ64Whab9JNoYhhXMbGxuB2u6OcoskWtSeCOVf84tMhIt/gy71Js4DHnb/l5eWs+EJEMVJofzbiSzrggxiWiRhLS0vxhS98Ia4BQiAQwMmTJ+FwOFJ2HvFBYCLQUEA/Fbj3hk6nw+DgICKRCEKhEBwOB1wuF+rq6mA0GqnZ9/DVGTYXEY+29VcgO/BndgsIJIBhmCgxjDYEMWxyg5UJ0SC2MDWp1ZNsYWqxWBzn9FKpVHN66BeiE3C29eHkcjk2b96Myy67DA8++CAef/xxjI2NYXh4GNu3b8dTTz2F2267Df/5n/9J1UaMO49ja6TlG/kqhnGdol6vl63DAwADAwNRKS2JkMlkUSmOpBlGPs8FvsDHeUpipvEgxhVyFi1ahHA4DJvNhq6uLgCTB08ivjQ2NsJgMGR1veaDGJZJxxVpgOD1euOui9VqhdPpZJ1HM9Uf5GuaJE37g6ngxrtgwQJIpVI4HA60t7cjHA4jHA6jtbUVbW1tqKmpgdFohEajyWHE/BXDZpsmSeP6K5Ad+DO7BQQSQMQwYLJrSzAYpKrgMHdDUahiGCmsPpfNFXF7xdb2StZ9pVAo4oSvTKQqcccoOMOSo6SkBNu3b8c111yDX/3qV3jppZcQDofR0dGBzZs345FHHsH27dvx7W9/m4rNSjI10vKFfBDDQqFQ1Lrh9XqTrgvILWrPFb9oesYIREOzy2oqSMw0ijmxNblUKhVWrFgBn88Hm82Gzs5OAJPP6JaWFjidzqyKYnwQw7IhMmk0Gva62O12dHZ2IhKJIBgMwm63w+VyoaGhAUajccp0PD45w/gUKxAvLCmVSpx22mkwm81wuVxwu93sB8cdHR3o6OhAZWUlTCZTVG3kXMbMF/ia3imQO4RZIsBruGIYMCmI0VRvSCQS8aKQfCaIdUkls2EJh8MJa3vl0u2VCnzuojlb0pUaWltbi0ceeQSbN2/G9u3b8ac//QkAcOLECXzve9/DmjVrsGPHDqxZs2bOMc+FWGdYPsMnMSwSiSAQCMR1chwZGUnp5yiVSuj1enbt4MNBSyAxfBPDaIx3qnpmarUay5cvh9lszqkoxjcxLNMxqtVqLFu2DBaLBXa7He3t7Ww6ntPphNvtRn19PYxGIxQKRdRr+SQw8SlWYOq0TrlcjgULFsBkMsHlcsHlcrFiTk9PD3p6eqDT6WAymVBWVpbVNYKvYlgqzjA+fngikH74M7sFBKaAK4YNDw9TJYYBYMWwQnWGAYmFIb64vVKh0J1h6RBMFixYgFdeeQWffvop7rjjDvzzn/8EAHz66af4xje+gXPPPRfbt2/HggUL5vy7ZoPgDMs94XAYIyMjccIX9xPh6Ygtai8Wi9Hc3AxgsptebW1tJsMXyCA0zVPCTM8kmsWwmbo1ckUxu92Ojo4OANGiWCa75vFBDMtFYXqlUoklS5bAbDbD4XCgra2NTcdzu91obW1FXV0dTCYTW6OKTwITn2IFZk7rlEqlsFgsaGxsRFtbGxwOB/shMEndLy4uhslkQmVlZVbWCr6KYbNxhtG49gpkD/7MbgGBBDAME2Uh5tZ+oQWJRIJAIFBwYhj3IeTz+eDxeGbl9pJIJFHF7LkHWNoodGdYOse8Zs0avPvuu/jzn/+Mbdu24eTJkwCAP/3pT/jLX/6Cyy+/HLfeemvWhQvBGZZduKI5Eb/SXdSe6x6jUUzJBIWw+efLGGkWw5IVm4gjiTjFuKIYqV1FnGLpFMX4IIblshaXQqHA4sWLYTKZ4HQ60drayqbjtbW1ob29HTU1NTCZTLzqJsm3AvrJxiuRSNhuoB0dHbDb7ezzaXh4GPv374darYbRaERNTU1Gr1M+iGHJrDU0rrsC2YU/s1tAYApinWG0QR4imSokTxMTExNsTR6uMHno0KGkXk/q83DFr1y7vVKh0Avop1scYhgG5557Ls455xz89re/xd13343Ozk6Ew2G88MIL2L17N6699lr87Gc/y1pdDcEZlhm4Re25wleyojm3qD0Rv4Si9oUHH9NeaBbDUn0/VSoVK4oRpxipXUVEMYPBgMbGxrSIYnwTw3IVo1wux8KFC1lRzO12IxgMRtWo4l4P2gUmsr8Si8VU3jexEGEp2XhFIhHq6+tRV1eHrq4u2O12eL1eAJMfLh86dAgtLS0wmUyoq6vLyPXiqxg227j5MI8EMgN/ZreAwBRwD8E0imGxAgmfHipTQdKUYtMcA4FAUq+XSCQJa3vRvgGbiUJMk8zGmCUSCTZu3Ijvfve7eOKJJ3D//ffD4/FgdHQU9913H5599lncfPPNuPrqq6csDpwuBGfY3Iktak++khWQuQ5R8jWX6y5sgvMHPgrUNIthsxVyVCoVli5dGuUUI6KYzWaDy+Vi0yfn0pCCBqFpJmhK6ZPJZJg/fz6MRmNcjSquo8bj8UR90EwbXDGMD5B4U93/MwyDmpoaVFdXo6+vD3a7HYODgwCAsbExHD16FFarlXWTpfN8wRXwaL23EpGsM4yPzwqBzMD/U7lAwUO7GMZ9OAWDQd6JYYFAIGFtr1QeJFqtFuXl5VEHVxo3/nOlENMksykOKZVK/PznP8fGjRtx33334amnnkIgEMDg4CBuu+02PPHEE7j99ttx8cUXZ2yTXKjOsNkw16L2pCEGN8Ux06J5Pl/TfB5bIvjyjCHrJo0Hzrk67ZRKJSuKcQu6E1GM6xSbjSjGBzFsqiYEuYRbo8rtdsPpdEZ9mPnJJ5+gvLwcZrMZpaWlOYw0MXwTw7jC0mxgGAYVFRWoqKjAwMAA7HY7+vr6AEzu0U+ePAm73Q69Xj/re2mqmPl2Zkm1gD65J2m5NwWyD79muIBAArhimMfjyWEkiYkVw2gl3W6vkZERuN1uAEBdXR1qamoyGT4VCGmS2XFKlZWV4e6778ZPfvIT7Ny5E7/73e8QiUTgdrvx4x//GI888giampqwbt26tG9waKijlS1SGSt3/eCKX6kUteemOGazIYawCc4f+HhP8sEZNlehiRR0N5lMcV0O7XY76xRL9SBPo9AUC/c9pC1GiUQCk8kEg8GADz74IGrf0tfXh76+Puh0OpjNZuh0Omri55MYRsRfID3Ckk6ng06ng8fjgd1uR1dXF4DJ84XdbofT6URDQwMaGxvjOoamAl/FsNkU0BcobIRZIsB7+FBAn0CLQDIXtxfDMFAqlXGpSrFuL9JqHaBn3JmGYRiIRCK2a1MhkAsxjKDX6/HUU09hy5Yt2LZtG9577z0AwOHDh/Ef//EfOOOMM9DU1ITVq1en7XfmcrzZZioxLF1F7blfmeg0Nxv4KKYInEKoGZZe0h1bMqKYXq+H0WhMShQjazDDMFS+fwA/hBuSChcKhSCVSiEWizE2NgbgVDfDkpISmM1mlJeX5/S9JvOFxE073H1COsUZrVaLFStWwO/3w+FwsPdSOByGy+WC2+1GbW0tjEYj1Gp1Sj873QJeNuHGncw8FZxhAvya4QICCeDWNaDRGcZ9WGfbGUbcGqSo/WzdXqSYvUajgVKpTGoDQqMImA2IGFYoY6ahTtrSpUvx2muv4cMPP8TWrVuxf/9+AMBHH32EM888ExdeeCHuuOMOmM3mOf+uQqoZxqW7uxtdXV3wer1JF7WXSqVxaY5KpZK6dCZhE5yf8OW60iyGZSqFk4hiJH2yra2NFTkcDgfcbndSohjNKaYEPsQInNqnyeVynH766XHdDIeGhrB3715otVqYzWZUVlbmZM5y91Z8EGoy3flSpVJhyZIlsFgscDgcaGtrYxt2tbe3o729HVVVVTCZTEnXgePbe8yFOMP4FrdA7hBmigDv4dYzGB4epq5jY7bSJMfHx+OcXqm6vWLdGjKZbNbvZS5FwFwiFosRDAYLRiihySn19a9/Hf/7v/+L119/HU1NTXA4HACA1157DW+++SauuOIK3HLLLaisrJz178jXmmGhUAh+vz8qxZF0rwKA3t7eaV/PXT+I+DWX9UNAYDbw8Z7kgxiWqdgUCgVOO+001ik2lSjW2NiYsEkGH4QmPsRIHEXAKZcY6WbY2dkJu90On88HYPJD5/3790OtVsNsNqO6ujqrc5emhgTJkK2ujHK5HIsWLYLZbGabI5Df3d3dje7ubpSXl8NkMqG0tHTaa8bnVEMyZlrc5gL0w68ZLiCQAL4V0J8r4XA4yuWVam0e4taI7eSY7o1aIdbPAk5teAtlzDSJYcDkoe3CCy/E+vXr8fzzz2PXrl3o7e1FMBjE008/jVdeeQVbtmzBli1boNFoZvXzCTSMN1VIUfvY2l6pFrXnCl/50AmWwEcxReAUfEuTjEQiVIthJLZMCzlcUczhcKC1tTVOFGtoaIDRaIwSxfggNPEhpY+7X+G+lwzDoLa2FjU1Neju7obdbmczMHw+Hw4cOACr1QqTyYSampqsXAe+iWHZdlnJZDLMmzcPRqMRra2tcDgcbDYIqQNXUlICk8mEioqKhOtOtgS8dBMKhdg1Yaa4Y5/1NK6/AtmBPzNcQGAKYp1htDHbdEHuoTW2E1uu3F6pUKhiGBk3H4WS2UCbGEaQSqW4+uqrcemll+LRRx/Fww8/zLold+3ahWeeeQa/+MUvcMUVV6RUsJlPzrDYphhE/EpWOJdIJOymuK6uDg0NDVAoFHm3acy38SRDIYyZD2OkXbzLtDMsFoVCgcWLF0c5xUjZAafTGZU+WVRUxAsxjE8xAokFJoZhUF1djaqqKvT29sJms7H7bb/fj0OHDrGiWF1dXUbHyjcxLNNpklMhkUhgNBqh1+vR3t4Oh8OB0dFRAJMpr/v27YNGo4HJZIpz9/FVDOPubZJ1htG47gpkF/7McAGBKZDL5ZDJZAgEAlSKYcmkC4ZCoYSdHGlze6VCoYph5D0Ph8PUpexmAlrFMIJGo8Gtt96KH/3oR7jnnnvw3HPPIRgMore3FzfddBMee+wxbN26FRs2bEjqfqHVGcYtas9NlU4mRoZh2JqA3DWkr68Px44dAwC23le+Q7vAKTA9fLt+tIth2XKGxSKXy1lRjDjFSGMaIoo1NDSwewtahSayDwDojRFIXmBiGAaVlZWoqKhAf38/bDYbBgcHAQCjo6M4cuQIbDYbjEYj6uvrMyL+5Epcmi25FpbEYjH0ej3q6+vR1dUVlfLq9Xpx4MABtLS0wGg0skJmrmOeLXyNWyC3CDNFgPcwDIPi4mL09vbC4/FQJ0BwF+SJiYm42l6pur1UKhV7cCVd2RLV0sg1hVpAP1YEzPcHMu1iGKGyshL33Xcfrr32Wtx555147bXXAAAOhwNXXnklHn74YezYsQNf//rXp/05uXaGRSIRjI2NxaU5ks5fM5FKUfupuknmGzQ9LwTmBo3i0nRxcOOlUSzJtjMsFlIHyWg0xoliLpcrJzGlwkyOK1pI1W3FMAzKy8tRXl6OgYEB2Gw29Pf3AwDGxsZw7NgxVhRraGhI6z6Ib8XdaYlXJBKxKa89PT2w2+2sgWBkZARHjhyB1WqF0WiMipNPtbdm4wwD6O5GK5B56F9FBARmgCuG0eQMIwWpyadmANDR0YH29vakXi+TyaJcXqSTI40b5kQUqjOMhu6K2YQvYhjBbDbj+eefx5YtW7Bt2zZ89NFHAID9+/dj/fr1WLduHZqamrB06dKEr8+mM4ysIbFpjsneT+ksap/PYlihUGjXkA+HGxrFOy60uJqmEsUIfr8fR48ehclkglwuz2Gk0XBjzPV7OB1zST3U6XTQ6XQYGhqCzWZjm60EAgGcOHECdrsdjY2N0Ov1aRFWhDTJucEwDKqqqlBZWYmBgQHY7XZWyBwfH8fx48ej4uSD4Ejgvtd8EvEEcgt/ZriAwBQQMQyYtPyGQqGsbjoikUhCt9fo6Gjc4SPRYYS4vRLV9uIz5JMWUgS3UODOvUIYN9/EMMLq1avx1ltv4f3338e2bdtw6NAhAMB7772H999/HxdffDF++ctfwmAwRL0uU26p2DXE6/XmvKh9rl1wuaBQxpmv8O360SyG0Vjcn4hipKYY1x3mdrvR1taG+vp6akSxqQrT00Y64iwpKcHq1avh8Xhgs9nQ3d0NYNKt09LSAofDAYPBAIPBMKf9LZ/FMJqEJYZhUFZWhrKyMgwPD8Nut7PXjPseky6UNNxPM5FKF0y+PSsEMgc9d6WAwCzhimGRSARerxc6nS4jvyvWqUG+ku0SyTAMSktLow6ufHJ7pQLDMBCLxQgGg2nposkXCs0Rx1cxDJico+vWrcNZZ52F3bt3Y+fOnXC73YhEIvjd736H119/HVdffTVuuukmlJWVAZj7eMPhMEZHR6NSHH0+H9vtaSaKioriantlqqh9IaZJ5vM4Z8t4MIzBkQAiEaBYIYVSRv8BFKBHwJkO2sUwAm17lKKiIsybNy8uVTIcDsPtdqO1tZXtPqlQKHIUZf6mSU6HVqvFypUr4fP5YLfb0dHRAWBSFLLZbHA6ndDr9WhsbJxViQ/anFYzQUua5HQUFxdj5cqV8Hq9cDgc7DUDgN7eXnz44Yeor6+H0WikunbobJxhQoqkAJ13pYBAipSUlLD/Pzw8PGcxbCq3V7JODa7bS6VSwWazAZgsQr1ixYo5xcYniBhWCKIQoZDTJPl6nUUiES699FJs2LABv/nNb3DvvfdicHAQgUAAjz32GF566SXccMMN2LRpU0puqWAwGFfbK9Wi9rH1vXJl/RdEosJjJBBCc9sw3ANjCHOuf12JHCvqtShW0JeGQqO4NF0dUxrjJdCe4seNr6ysDFqtFm63G6FQCJFIhBXFiFMsF6IY7e8hIROinVqtxrJly2A2m+FwONDe3s5mCjgcDrhcLlawTMV1xGdnGO3xajQaLFu2DACiBLFIJILW1la0traipqYGJpMJGo0mV2FOSSrOMIC+NVcgNwhiGOUMDQ3h73//O/7+97+jubkZJ0+exODgIKRSKXQ6HZYvX461a9di48aNKC0tzXW4OYHrDAMm37NUmKvbSyaTRRWzT+T2crlcBeeQAk49+PkqksyGfBCHUiGfUumKioqwefNmXH755XjwwQfx+OOPY3R0FB6PB01NTXjqqaewZcsWLFiwAGKxmD1AcIvac8WvVIvac9McaXCMFopjStgQx+MdC+K9E30YDYQwMhHC0MjEv5xhErQPjaHbO46z5pejXE1XOn+u5+nExAR7/5P/AkB9fT30en3cYZgrQtA2D2kW6oDo904ikWDBggVsTTGuKNba2hqVPplNUayQ0iSnQqVSYcmSJawo1traikgkwjZBcLvdKbmO+OC04sK3eGOpr69HZ2cnO47Ozk50dnaioqICZrM5yoyQa2ZbM4zG9U0ge/DvriwQjh8/jptvvhnvvvtuwvSZQCAAv9+P1tZWvP3227j99ttx11134Wc/+1lB3tRcMWyqIvrkwOr3++H1elkBLFm3l0gkStjJMZnaB4XokAJOPfjJprQQ5mahOcOyWVA+WxQXF2Pbtm24+uqrsWvXLrz44osIh8Po7OzEbbfdhvr6elx22WVQq9UYHByE3+9PWujmFrUnwtdsi9pnmkIRw7gUyjhn4hPHIEYDIbgHR9HjPbUH6fSMo0QphblciX/YBrB+aRXEInrmbrYEnERdXb1eL8bHxxN+/4kTJ+B0OtnueuQ5QXMqIu2upkTxyWQyVhRzOp1wuVxxolhdXR1MJlNW0r0KMU1yKhQKBRYvXgyTyRTVBIF7bWpra2EymaBSqXIaazqhtWbYdHBjtlgsWLBgAdxuN5xOJ+u+6u3tRW9vL3Q6HUwmE8rKynK+j5ltN0mBwoYfd2UBcvjwYbz99ttRfycWi2GxWFBVVYVQKIRjx45hYGAAwGRb3BtuuAFHjhzBU089lfMFKdtwP5nweDzweDzYt28f9u/fj87OTlxyySUpHViLioriCtorFIpZbwglEgnGx8cL1hkGTG4K+bBxmSuF5gxjGAYikYhtd59PlJeXY9u2bdiwYQPuu+8+tvNkW1sbdu3ahTfeeAMbN27EokWL4l4rFotZ4Zy7jvDpHigUMazQnpfA9GPu8wXQ5wtgaHQCPd4AFFIRaovlEDGTYtjQyAR6vOOo0hShbWgMBl3uajJlg3A4jJGRkTjHVzLPc9JEBjjVqc3hcMBsNqO+vp5q9xXNsQHTi3UymQzz589HY2NjnCjW1taG9vb2rIhitAuKhGwKTNwmCE6nM8rF197ejvb29mlT8fgshvEhXiBewJNIJDCbzTAYDGhra4PT6WSd7wMDAxgYGIBWq4XJZEJVVVXO1otk0yRJcxAa1zWB7COIYZQjkUhw3nnn4YorrsCZZ54JrVbL/lskEsGbb76J6667Du3t7QCAp59+GqtWrcKmTZtyFXJWiUQiPG8zwQAAIABJREFUcLlcaG1thUwmQ2NjI26++WZ0dXWxGzmxWIy1a9cm/JSAuL1iha90f6JAFmUiGNC8KUonscXk+bIRmAuFVkAfAO/FsEgkEnXYTVTU/uc//zm+/e1v44UXXsCxY8cATDp4b731VqxZswbXXnstli5dyopfmSpqn00KRQzjUijjnI4uz6S7qdc3Of9N5UoopJPrmqpIgoPtHvT6AqjSFKFzmC4xbK4CDqnzF1vrL5l5Qbq6kjWAOMgDgUBUd73x8XEcPXoUdrsddXV1c4o3k9Au5CSTYsoVxVwuF5xOZ5woVltbC7PZnBFRjC9pkrlwsBUVFbEuPuI6IiIMScWrqqqCyWSKyv7gm7jExzRJ8h6TRlgEiUSCxsZG6PV6dHR0wG63s9k1Ho8Hzc3NUKlUMJlMqKmpyfqcF9IkBWYDP+7KAkQqleKqq67CHXfcAb1en/B7GIbB+eefj1WrVuFLX/oSurq6AABbt27FVVddlXcWUZ/Ph8OHD+PAgQM4ePAgDhw4gEOHDsHj8bDfc/LkybjXhUIhtLW1YeHChWl1e6UC9wEYDAbn1FaaT3AfooUybj53V5wtZMx8EP8SHXaTLWq/aNEiPPDAA/joo4/w4osvoq2tDQDw6aefYs+ePbjssstw6623Ut1tKRUKUQwTACZCk/dCMBSBiAHkklNrmkTEQCYWIRianA/BML3zYqYDDmmSw3V8jY6OJvWzSa1Qrvg1lQCu0WiwcuVKeDweWK1W9PT0AADGxsbY5jo0QnM9MyA1sU4mk2HevHkwGAxwuVxsHVfiRuro6MiIKCakSc6MTCaDxWJBY2Mj3G43HA4H6/Dp7u5Gd3d3VH0qvjrDiIueD5CYJRJJwntfJBKhvr4edXV16O7uht1uZ89ifr8fhw4dQktLC4xGI+rr67N2nbjOsGR+J43rmkD2EcQwSjn//PNx/vnnJ/W9DQ0NaGpqwo9//GMAQF9fHz766COsXbs2kyFmjTvuuAOvvPJK0ptGmUwGo9GIBQsW4LTTTsPy5cvxb//2b1GfLGWbQnQLAYU57kIcM9ng0ST+xRa1J4fdZIvaSySSuBRHlUqF0dFRjI2NYfXq1di3bx+effZZdHZ2IhwO48UXX8Tu3buxadMm3HDDDVQVlp0NhSKGFcqGONlrqJQRF5gY/kAIAyMTKFNNfpDhGw9iLBhGsUIS9b20kGiMkUgEo6OjcWmOieqxJoLU+eOKX7P5YEer1WLVqlUYHh6G1WpFb29v1L93dXWhtLQ0J46KRNBczwyYnXONiGLc9MlYUaympgZms3naulXJwhdnGA1xSiQSmEwm6PV6tLW1weFwsDX4SH2qsrIy3tXgIvGKxWLePGu4MU8HwzCorq5GVVUV+vr6YLfbMTg4CGBS7D927BhsNhsMBgP0en3GTRokbqlUmtJ7zZfrIpAZ6F9FBJJi/fr1rBgGTKbv5IsY1t/fP6UQptfrsWzZMpSUlODll1+GWq3G9773Pdx3331ZjnJ6Yp1hhUIhCkOFOOZci2HhcJhtjDGbjrAKhSLqsKtWq1FUVJRwg0T+TiwW47zzzsOWLVvwxBNP4IEHHsDw8DDGxsbwwAMP4LnnnsPNN9+Mq6++OqW28TRRKGIYl0IZ53TodQrsb/WgUi1Dvy8AR/8oBkcmIBYxGByZAAOgSlMEADCW0eWC5K5BLS0t7FqQzFpMyibEOr7S7WooLi7G6tWrMTQ0hGPHjrFNf4LBIA4dOgS73Q6z2YyampqcHtLyyRkWi1QqZUUxkj5JRLGOjo4op9hcRDHaU00JNDnYSCpeQ0MD2tvbYbfb2Q+x+vv7o76X5veUQNYePgh3BK6olAwMw6CiogIVFRUYHByE3W5nxf5AIICWlhY4HA7o9XoYDAYUFRVlJG7iDOPTey2Qe4TZkifodLqoP3NTB/nOsmXLoFAosHTpUixbtgzLly/HsmXLsHTpUpSWlgIADhw4gJdffpnd+NKGIIYVnjAE0OWUyiTZFMMCgUBcmuPIyEhSIoZIJIrq4kjcXqlsnGIFIqVSiZ///OfYuHEj7r//fjz55JMIBAIYGhrC7bffjieeeAK33347LrnkkpwfMlKFxgNwJiiUcSaLQirG/CoVjnf5MK9SBffgGIZGJ59bcqkI9SVyaOUS1JcqUKrMXTmGiYmJuDRHv9/P/juppZoIrvOT/FepVGb1cF1SUoIFCxZgz549UX/v9/tx8OBB2Gw2WCwWVFdX52SO5qMzLBapVAqLxRKVPkkO1FxRzGQyQa1WzylGmtd/GlMPxWIx9Ho96uvr4+pTEfbs2QOz2YyKigpq1/FkXVa0wK3/OhtRqbS0FKtXr4bH44HdbmdL+ASDQdjtdjidTtTX18NoNEKhSF+9yUgkkrSIF7tfpHXuCGQHQQzLE1wuV9SfKysrcxRJ+rnyyitx9dVXT/sg4aYjDQ8PU9clpFDFMO64C0UMK2QBMJ0dekhR+9g0x2RTm2I7wmo0mrQUtZ9K7CwrK8Ndd92FH//4x7jrrrvw6quvsi3jf/KTn+CRRx5BU1MTzj77bKrWpungxlkowq7gDJtkRb0WYxMhOPtHsbhajbFgGIhEIP9XIf0qbRFON2YnDTgSiWB8fDwuzTHZlGe5XB6X5jiV8zMTTPd7uPOturoa4+PjbJqR3+/HgQMHWFEs213a8tkZFgsRxbhOsVhRjKRPpiKK0ZB+mAw0imEEUp+qtrYWXV1dOHToEHvfDA8PY9++fdBoNDCbzTntZJiISCTCO2dYutJQtVotVqxYAb/fD4fDgfb2dkQiEYTDYbjdbrS2tqK2thZGo3FWQnMspDHGXOMWKDyE2ZInvPbaa1F/Pv3003MUSfpJxk5LHGIA2JQDmihEUQiIL6BfCHDHXCgCQqxAlOpmmlvUnvuVzPvHMEzCjrCZatbAHWsi4USv1+PJJ5/Eli1bsG3bNvztb38DABw5cgQXXXQRvva1r2HHjh1YvXp1RuJLJ4WUJskwTN6PMRVEDIOvmHQwlo2hpceP/pEJRCIRlCiksFSo0FAqz8ihMxwOsyI4V/xK5vnBMAwYhmHXjZUrV2akO3Q64c45lUqF5cuXY2BgAC0tLRgaGgIw2TyoubkZGo0G8+bNy5oLphCcYbFIJBKYzWbWKcYVxUiHw1REMb6kSdIshhFEIhFqa2tx/PhxBAKBqDXb6/WynQzNZjOqq6upeL/53EkSSE/MKpUKS5YsgcVigcPhQFtbGytctbe3o729PWHX0LnEnUp6p4AAP+5MgWkZHh7GQw89xP552bJlWLx4cQ4jyj5yuRwymQyBQIBKMawQRSGgsF1SQOGMOVYAnGozTRwe3IOuz+dLuoObRCKJq+2lUqmyuulN1i21ZMkS/PGPf8RHH32ErVu3Yt++fQCAjz/+GGeeeSY2bNiAO+64AxaLJeMxzxZhoyhQUyxHTXFmat4Fg8GoWn8kzTEZEVwsFidMed67dy98Ph9EIlHUh2S5ZDq3LFdwImJeWVkZdDod+vv70dLSwu5pvF4v9u3bB61Wi3nz5qG8vDyj92ghOcNi4YpisR0OiShWXV0Ns9kMjUaTVIy0ikwAfxxswKn3VKFQYOHChbDZbOw9QlKMrVYrTCYTamtrczoe7n6f5uvPhduRMZ0Cnlwux6JFi2A2m+FyueB2u+O6hpaVlcFsNqO0tDTlNYcbd6ofgNC4vglkD0EMywNuvPFGNicbAHbu3JnDaHKDSCSCVqtFX18fPB6PkCZJCYUohgnOsDD7X7/fHyd8pVrUnnvYzWZq01TM5AyL5YwzzsDf//53vPHGG2hqaoLdbgcAvP7663jrrbewceNG3HrrrVSmtheSM4xQKOPM9n0UCATg9Xqj1oLY+j9TIZPJ4tIcp0p55tv1ixXDuP9fXl6OsrIy9PX1oaWlha0F6/F4sHfvXhQXF2PevHkoKyvLyPUsRGdYLNwOh7GiWFdXF7q6uqYVxfgiMvHBGUbgph1WVlaioqKCbbRFUoxHRkZw+PBhVhSrq6vLybj41vkSyHzMpKOr0WhEa2srnE4n2zW0v78f/f39KCkpgclkSskFO1sRL9d7SoHcw487U2BKnn76aTzzzDPsny+55BKsX78+hxHlBoZhUFxcjL6+PiqdYYIYVjhiWCE6w7icOHECo6OjsypqTw66qRa1zyazqaPFMAw2bNiA8847Dy+88AJ27dqFnp4eBINBPPPMM3j11VexefNm/PSnP53WZZBtCkkME9Ik00MkEsHo6GhcmmOytf6USmVCETxV+HLAmUoM4/5dRUUFysvL0dvbi5aWFni9XgCTWQGff/45SkpKMG/ePOh0urSOm/YUv2zGxxXFWltb4XA42DlNRLGqqipYLJaoNZwvzjASp0gkovreCYfD7D1D3k8iHJeXl2NgYAA2m43tOjk2NoajR4/CZrPBaDSivr4+q3sLIU1yaiQSCYxGI/R6Pdrb2+FwONgsgaGhIezbtw9qtRomkymptNdU0iSFZ70AF37cmQIJ+eijj3DdddexfzYajXjyySdzGFHuIGIYMPmpaSgUomrzVqg1wwpx3PksACZT1L6vr2/K18tksqgUR9LBjebNdywklYk0C0gFqVSKq666CpdeeikeffRRPPzww/D5fPD7/bjnnnvwzDPP4Be/+AWuvPLKjNU8S4VCEsMIhTLOdEDcn7GF7ZNZ9xiGiRK90iWC8+36zSSGcf+NuGC6u7thtVrZztlDQ0P47LPPUFpayopi2YwtV+TCuUYO8A0NDXGiGEn14opitAuKBHLP0izYATOnHep0Ouh0OgwODsJut6O3txcAMD4+juPHj8Nms6GxsREGgyEr4hQf0ySz7Wbjdg3t6uqC3W5n1zafz4eDBw+ipaWFdfhNdR8JzjCB2SKIYTylubkZ3/nOd9iHcGVlJd555505FR/kM1wxLBKJwOv1pm1DmA6EmmH5JwxNBVcs4XOaZGw9n1SL2hOHB1f8okHgSQezFcMIarUat9xyC370ox/hnnvuwbPPPotgMIi+vj7cfPPNePzxx7F161Zs2LAhpweoQhLDCmFDPJdrODExESWAExE3mZ8ZW+tPo9FAqVRmZG6TePhyPVOty8UwDKqrq1FVVYWuri5YrVb4/X4AwODgIPbs2YOysjJYLJY510yjXcjJZXxcVwtJn0wkinEP6DS+hwSyP6M5RiD5dM7S0lKsXr0aHo8HNpsN3d3dACbXsZaWFjgcDhgMBhgMhozuSwRnWPKQBgk1NTXo7e2NqgU3OjqKI0eOwGq1orGxEQ0NDXGxCQX0BWYLP+5MgShOnDiBc845h10kSktL8e6772L+/Pk5jiy3lJScavM+PDxMlRgmpEkWzrgZhoFIJEIoFOKFAJiOovZisZit+bBo0SJUVVVRv6meCyKRCOFweM5iZ0VFBf7rv/4LmzZtwp133sl2BXY4HLjyyivx8MMPo6mpCf/+7/+ehqhTp5DEMIFJEq0HXq8XY2NjSb2+qKgoSvRSq9WQyzPTeXI6aDnkzHTfzNbdxDAMampqUF1djc7OTlitVrYGG6m7U15eDovFErU3mm3stLyfXGgQ68RiMSuKEacYeRYSAYb7vbRC3kuaYwRSF5e0Wi1WrlwJr9cLu92Ozs5OAJP7UZvNBqfTCb1ej8bGxlmlY88E351huejEy3XBDgwMwG63s2mv4+PjOHHiBOx2O/R6fZSYmaozjMY1TSA3CGIYz3A4HFi3bh16enoAABqNBn/5y1+wfPnyHEeWW7jOMADU1Q0TxLDCcYYBk+OmUQzjFrXnHnaTnZNyuTwuzVEul8Nut8PlcrHfkw9C2EQojJFACKoiCSSi6E0T2USly/lnNpvx/PPP46c//Sm2bduGDz/8EACwf/9+fOc738HatWvR1NSEZcuWpeX3JUshimGFMk5gcv6Ojo7GpTlyDxVTkcj9qdFocnJ44kLb9SNO4amYq+DEMAxqa2ujRDHyQUZfXx/6+vpQUVEBi8WScuYADWLTdNAUn1gsZh0rsaIY4eDBg5g3bx6VGRx8SZOcbaF/jUaD5cuXw2KxwG63o6OjA5FIBKFQCA6HAy6XCw0NDTAajZDL09c9l+8F9HM5H0hn3bKyMgwPD8Nut0c5/IiY2dDQgMbGxll3kxREMQF+3JkCAIC2tjasXbsWbW1tACYLzb799tv48pe/nOPI6IBmMUwkErFuEtoEkkxSqGIY2ZjnMk1yYmIiLsUx2bQmkUgElUoVJ3xNtZlL1E2SrzS3DeP5T9vwYcsAguEIZGIGaxeUY+OaepxWM1kYmYw33QfvVatW4c0338T777+Pbdu24dChQwCA999/H++//z4uvvhi3HHHHTAYDGn9vVNRSGJYKhvicCQC98Aoen2TaVHlahkMOgVEFG+qQ6FQ1OH8+PHjGBsbS+p+JU0uuKKXSqWi8uDMtzTJdLmvRCIR6urqUFNTg46ODthsNlYU6+3tRW9vLyorK2GxWKDVapP6mammcGYbmsQwAlcUa2trw/Hjx9lrPFdxMlNwSzrQeE9zmWvXS5VKhaVLl8JsNsPhcKCtrY0dv8vlQmtrK+rr62E0GqFQKNIaLx/FsFx/uEEoLi7GypUr4fP5WIcfETOdTidcLlfU9Zruvc73vYxA6vDjzhRAd3c31q1bB4fDAWAyFeGNN97AGWeckePI6IGbCkBakNOEWCxGOBwuKGdYoYuA2Rhzou5tPp8v7lPpqZDJZHHd2xQKRUqHi3wRw/77s3b86l1b1N8FQhH85Wgv3j3Wix3nLcB3llWl3RnGhWEYrFu3DmeddRZ+//vfY+fOnazrbvfu3XjjjTdw1VVX4eabb0ZZWVnaf39sLIRC2UDONE7XwCj+92Q/PGPR67i6SIyvzyuDqVyZyfCSIhAIxKU5khQ6QuyfCVKpNC7NkW9NLgA6xZtEpDsVUSQSob6+HrW1tWhvb4fNZmNTXHt6etDT05Ow6+FMsdEiNnGhUQwjiMViGAwGtLW1sd0/CUScpEUUm6vAlE3S5VpSKpU47bTTWFGstbWVLX3gdrvR2tqK2tpamEwmqFSqnMebTWh2s6nVaixbtgzz5s1jxUzSYZT7TBsfH592fYtEIux6y5dnhUDmoGuWCySkv78f69atw4kTJwBMblb/8Ic/4Oyzz85xZHTBFcOGhoZyGEliJBIJJiYmCkoMA06JgIUohpGHdLoetqFQKK6To9/vT7p7G0lr4h5001E8Nh/EsD3OoTghjEsoAmx9+wTMFcqMOcO4iEQiXHLJJbjgggvw9NNP495778XAwAACgQAef/xxvPzyy7j++uuxadOmOW3WkyXfxbBk7lFH/wj+fLgHwXAEfb4ABkcn0zJKFFKEIzL8+UgPvrm4ApaKzF8PLqFQCDabLWF31+lQKBRxji+ZTMbrwwHf5mmm3FcikQgNDQ2oq6tDW1sbbDZbVC2r7u5uVFdXw2KxQK1WZzW2dEGzGEYg81EkEmHhwoWw2+2sOElEsbnWdpsrfHgfCekW7uRyORYtWgSTyQSn0wm3241QKIRIJIL29na0t7ejpqYGZrN5yvtkOmgWlqaCDzErFAosXrwYZrMZTqcTra2tUXF//vnnqKiogMlkmnMjEYH8h85ZLsAyPDyMc845B4cPHwYwufj/93//N84777wcR0YfsQX0aYM8VMiDlsbNZSYQi8WYmJgoKDEsVhxKddMWiUQQCATi0hyncnPEQrq3cb8ymdaUD2LYs5+0zvg9oQjwwqdt+I/ayXs3GwfvoqIiXHfddbjsssvw0EMP4bHHHsPo6Cg8Hg927NiBp556Crfeeisuv/zytG9cBWfYKYLhCD440Y9gOILj3T74x0+tZ57RIPp8ASysUuPvJ/th0CkgFaf3UEnq/SVyfwaDQdY9mAiGYaBWq9mfAQArVqygqslMuijUNMmpEIlE0Ov1qKuri6tl1dXVha6uLtTU1MBiscSJ6oIzbO5wa3Hp9XrU19ejra0tShQj6ZO5EsX45AzLVKxFRUVYsGABjEYjXC4XXC4XK650dnais7MTVVVVMJvNSacZx8ZLq7AUCx/EMAK5biaTCf/4xz+iMiKI2FxaWgqTyYTy8vKoNVZwhgkQ6J7lBY7f78e5556LvXv3Aph82L/wwgu46KKLchwZndBcMww49eAm9Qlo33SkCzLOQnLEca/tTNc6HA5jZGQkTvhKpog1MHVR+2w+4PkuhnnHgvg/+2BS3/veiT5sqJ3sOpXNsRYXF2Pr1q24+uqrsWvXLrz44osIhULo6urCz372Mzz66KPYvn07zjvvvLRde1L8OxKJFIwYNhWOvhGMBELo9o7DPx6CTiWFoXSyRknr0Bj6fAF0e8dQK1LA2juCRdWpuwgIwWAwrqh9svX+iBDOdXsplZNuxpaWFlYMK5TnT66Z6V7MVsdGbi0rt9sNh8PBOgjJYb+2thYWiwVK5WSqr+AMmzuxtbiIODmdKFZWVgaLxZI1RwtfxbBMCDUymQzz5s1DY2Mj3G43nE4nuxcjjsqKigqYzeakREs+pkmS8ZIyJ3xAKpWysYrFYkilUva+GhwcxN69e6HVamEymVBZWZnLUAUoRBDDKGV8fBwXXHAB/t//+38AJjciv/nNb/D9738/x5HRC1+cYcDkA5IvD8a5kqmUQZrhbiBCoRBbhHRiYiKuk2OqRe25B93pitpnE76LYUOjE0hW6pkIRTAWOuUMy/acrqmpwUMPPYTrrrsOTU1NeOuttwAALS0t+P73v48vfelLuPPOO3H66aen9ffmuxg20zXs8kx+4jzgnwDDAI06JcT/6jJqKFVgcGQCAyNB1BYDncNjSYlhXAcoV/wim/hkEYvFWLp0aU6EcNrgszMsGwdPsVgMo9EYJYqRw29HRwc6OztRV1cHk8nEK2cYrdebxBj7/nFFsdjabv39/ejv78+aKMZXMSyTsUqlUpjNZhgMBtZRScRj4jgqKyuD2Wye1mHLJ5cVgcTMl3gJZB0rKirCV7/6VXR0dMDhcLAfAHk8HjQ3N0OlUsFgMKC2tpbKdU0g+/BrphcQDz30EN577z32zyUlJdi9ezd2796d1OvPPvts3HjjjZkKj0q4GwYaC+jHimFFRUU5jCZ7xHaU5NsDdjZwH7BOpxPj4+OzLmpPxK9Ui9pnk1jxj29o5cnPSYmIgVLKwP8vvSJXAu/8+fPx29/+Fv/85z+xdetWfPLJJwCAPXv24JxzzsG3vvUtbN++HYsWLZrT7yk0Z9hU4wz/6+8jAEQMA+4lZ5jJr3D4X9+T4EeQAr+xjq9kHaCJhHDyDJFIJKioqEh+kAUAreJILNlyhsUikUhgMpmg1+vhcrlYB0wkEkFbWxva29uj0iZpfD/54Awjz8Op4uPWdmtvb4fdbme7gHJFsZlEl3TEOF2ctJBtp5VEIoHRaIRer0dbWxscDkecaFlaWgqz2YyysrK4+4TPaZJ8iReYXEdJ3MQlVl9fj7q6OnR3d8Nut7PnQr/fj6NHj6Kvrw+rVq2icm0TyC78mekFRmxtoMHBQfz1r39N+vXV1dXpDol6Yp1htLmQuA8WPgoGsyXfxbDYovY+ny9KjO3o6JjytbFF7WMPuXyB786wYoUUXzQU4zPXzI7SMyw6yCQB+P/151yLRF/+8pfxzjvv4J133sG2bdtw/PhxAMBf/vIX/PWvf8X3v/993Hbbbairq5vVzydraK7HmWlmelaUqSYbTRTLJejyjKPLM44a7eR92u0NIBiKQKeZdICWKMTweDxxwlcy94ZIJIpLc0xXvb98v4YAv51huYhZIpHAbDZHiWLBYBCRSAQ+n4/9vmRF22xCuxhGSmIAMws3XFGso6MDNpstThTT6XSwWCxpF8UEZ9jMkO6gDQ0NcaLl4OAgPv/8cxQXF8NsNqOiooK9l4lAwzAMlXM0Fq6oxKe9+lQOPIZhUF1djaqqKvT398Nms2FwcLIkxmz3RAL5B39muoDADHCdYTSmSXIf3IVUPytfRMC5FrUXi8Vxzo5MFrXPJnwXwwDgijUNSYlhG9fUQzTgZP9MQ/0/hmHwrW99C2effTZeeeUV3HXXXejo6EA4HMZLL72E3//+99i0aROuv/76lFNuCkUMI0w1znmVKnxsG0CVtggDIxNoHxpDry8ARMIYGQ+CiYQgnQigs2MQPRN2DCcxJaRSacL6XnwRcmiEb/M012IYQSqVwmKxwGAwwOl0wul0Rj2v9+/fD71eD5PJRM2HNXwQwwjJxkccLbW1tejo6IDdbmf3GAMDA9izZw90Oh3rREoH3Pcx18+ymci104orWnZ2dsJut7NpeMPDw9i3bx80Gg3MZjOqqqrYePkiLHHfX1Legw9wxfpEcTMMg/LycpSXl2NgYAAdHR2sm1p43grw4+4sQLZv347t27fnOgxeoVAoIJVKMTExQaUYFpsmWSjEOsP4wFyL2kskEvYaNzY2oqamJq9r+eSDGHaGRYfNXzfg0Q+n7sp3yzfMWNVQjIODdHZZlEgkuPzyy3HRRRfhySefxH333Yfh4WGMjY3hgQcewHPPPYebbroJ11xzDeRyeVI/s9DEsKmQiRmsqlXgf0/0okYeRMfwGAZ9QYTDYagkgK4ICIwCC4rDKEpwnuQ2utBoNNBoNJDJZHm7JuQavryvtIhhBKlUinnz5sFgMGDPnj2sOywSicDlcqG1tRV6vR5GozHnohjXBUjDexfLXNIPuaJYZ2cnbDZblCg2MDCA0tJS1ik2l/HzKU2SFhebSCRCXV0damtr0dXVBZvNxt4rXq8Xzc3NUKvVbGkMvohhfKxxBqQWd0lJCbRaLbXrhkD24c9MFxCYAZFIBK1Wi/7+fng8HqrTJAtVDKNx3Okqas/9IjZ6AGy9r3wmH8QwAPjxVw1YVK3B85+2RrnE/s1UiitPr8eXGyddVbSPV6FQ4Prrr8cPfvAD3H///XjyyScxPj6OoaG8YqY4AAAgAElEQVQh/PKXv8QTTzyB22+/HZdeeumMB4pCEcO444wVw0/V9wpCFwB6fSKUiIASFef1AOYVR2ApZqBWq+IcX7QdLGh6NqYTvs1TWovAy2QyaDQa9oAvEokQDocRDofhdDqjRDGZTJaTGKcqTk8L6XBcEdGlpqYmThQbHBzEZ599NmdRjBaBKRloi5VhGNTU1KC6uho9PT2w2WxsmQxumjG5d2idqwS+imEzOcMEBKaDPzNdQGAGGIZBcXEx+vv7qXSG8dEhlQ5oGXckEsHo6GiU08vr9SZd1D42pUmtVkOpVCbc3NAy5mxBuziUCmdYdDjDosPw6ASGR4MoVUqhiSmwzz1w0DxenU6HnTt34pprrsHdd9+NV155hS2QvWnTJjz66KPYvn07vvGNb0x5iMp3MSwYDMLn87GHgImJCXz44YcJx8swgFkL1CnDaPUz8AZFkMvlqClVYnlDKap0xVCpVNQfeAoBmoSl6aC5YyM3ti9/+cvo6OhAa2srwuEwQqEQHA4H3G43DAYDGhsbsy6K0S6GpdNxxRXFurq6YLVa40SxkpISWCyWhIXck42TBoFpOrJdQD9ZGIZBVVUVKisr0dfXB5vNhqGhIfbfx8fH8dFHH8FkMqG+vp7aOctXMSyVuPN1LyMwe/gz0wUEZoCIYcBkN8lQKETVA0dwhmVPGAqFQvD7/XFpjsn+flLUPlHntmTgjplmsSRd5JMYRihWSFGsSPwJI/egwYeNlV6vxxNPPIEtW7Zg27ZtePfddwEAR44cwXe/+1189atfRVNTE774xS/GvTZfxLDYmn/kv6QIcuz3xlJUVBS1Jpyp0eR16jNfEQropw/uWi6Xy7Fo0SIYjUZWBItEIgiFQrDb7VGiWLacGbSLYZmoaSYSiVBbWxvlFCM1q4aGhvD555+nLIrxtWYYjbEyDIOKigqUl5ejp6cH+/fvZ/9tbGwMR48ehc1mg9FoRENDA3Vj4KsYNhtnmJAmKUDgz0wXEJgBhmHYjpLhcBg+ny/lYtGZRBDD0i+GkQMu93A7m6L25Ctdndu4G99CcIYVsvjHJ5HotNNOwx/+8Ad8/PHH2Lp1K/bu3QsA+Mc//oG1a9figgsuwB133IF58+axr+HjZjESiWBkZCRqXfB6vUnX/FMqlVEpjmq1OmepYALJw6d7kUCzGJYoNq4oZrfb0draynags9lscLlcMBqNMBgMGT9M80kMS7fowTAMK4oRp1isKFZcXAyLxYLy8vJp5xbtAhMXEqtYLKbufuHCMAy0Wi37Z5lMhkAgAGDSJXb8+HHY7XY0NjZCr9dTIzzxVQzjxp2MGEbz3BHIPvyZ6QICSUCcYcBkZxdBDMs96eomSer4xNb3SvaAK5fL44SvTDk7hDTJ/Ibv4/3a176GDz74AP/zP/+DpqYm2Gw2AMAbb7yBt956C1dccQVuueUWVFVVUe8Mi3WBer1e+P3+pO47kUjErge9vb2YmJiAWCzGmjVrshC5QLqhUViaKQ4aYyZM52ySy+VYvHgxjEYjbDYb2tvbWVGspaUFTqcTRqMxowd92sWwbBSm59asii3kPjw8jL17984oimVCDAsEAjh27Bj279+Pyy+/PG0/lyuG0Q73fa2oqIBer4fNZkNPTw+Ayffo5MmTcDgcMBgMMBgMOa93xd1P80kMm23ctK25ArmBPzNdQGAGuGmSAKirG1ZoAglhNgX0uUXtyZff709KeGAYJq6gvVqtzuomg+9iSaoU2nj5liaZCIZhcMEFF+Dcc8/Fiy++iF/96lfo6elBKBTCM888g1deeQWbN2/GV77yFQB0jHNiYiIuzXFkZCSp2GJr/pHGFmTuDg0NJS2sCwikC76IYVPFplAosGTJEphMJthsNnR0dCASiWBiYoI96JtMJuj1+rQLGLSLYZlIk5wKrijW3d0Nq9WaUBQzm82oqKiIup5zFe1GR0dx+PBhNDc3Y//+/Whubsbhw4dZJ9SaNWuwcOHCOY4wOlY+iGGx9c2Ki4uxatUqeL1e2Gw2dHV1AZh8rlmtVjidTuj1+pzU30sUM5/EsGSdYTTsYwTogz8zXUAgCbhiGOnoQguF6gybTgSMRCIYGxuLS3McGxtL6menUtQ+mxSa8MmXgvLpIp/GK5VK8aMf/QiXXHIJHnvsMTz00EOsyPTrX/8aJSUluOiii/Ctb30razElWhdSaXYhl8vj0hyLioqmFRtoEyIyQb4fBGgWlqaC1m6SQGrF/ZVKJZYuXRoligGTB/0TJ06woli66iSRrq/JxJYrclGLi2EYVFdXo6qqKqEotm/fPmi1WlgsFlYUSyVOr9eLAwcOsMLXgQMHcOzYsWn3Ofv370+bGEb2znwTw7j7f41GgxUrVsDn88Fut6Ozs5N1VdrtdrhcLjQ0NKCxsRFyuZyKmGknFWdYJBJh11ra1lyB3MCfmS4gkASkZhhAnzNMEMMmP0Hs6OiIOuSmWtQ+to4PjQ+zQquhxTAMRCIR2z4838lHJ5xarcYvfvEL/PCHP8Svf/1rPPvss5iYmMDQ0BCefvppvP3227j77rtx4YUXpvXwSdKfYx1fyayRDMNApVLFCeK5TjURyD00PhcSQbOANxuhTqVSYdmyZawo1tnZCWAyJez48eOsKFZfXz8nQYPmLpyEbKRJTkWsKGaz2eD1egFMflDMFcWm6tA4MDCA5ubmKMeX1WqdUVRnGAbz58/HihUrsHLlSnzhC19Iy5i4AigfxDDu9U8k0KjVaixbtgwWiwV2u51NNQ6FQnA6nXC73aivr4fRaIRCochKzHwVw1KtGSYgwIU/M11AIAm4Yhi3rTENMAwDsViMUCiU92LY+Pg46/LiXofe3l709vZO+9pMFbXPJoVWQB9AQYlh+ZAmORUVFRW49957sWnTJtx555344x//CADo6urCD3/4Qzz88MNoamrCmWeemfLPDgaDbH0vInolm/5M1gWu40ulUqX9kJlv17OQ4OO1o1kMI7HN5h5Tq9VYvnw5zGYzrFYrmxI2Pj6OY8eOwW63w2w2o76+flY/P5spiLOFhi6NXFGsp6cHVqs1ThSTSCQYGhqCzWbD3r17cejQIezfvx8ul2vGny+RSLB48WJW+FqxYgWWLl0KtVqd9rHMJC7RxlQiYyxKpRJLliyB2WyGw+FAW1sbu5dyu91obW1FXV0dTCYTlEpl1mLmw3tMSLVmGG1rrUBu4c9MFxBIApqdYcDkIp1PYlg4HMbo6GhUiqPP52NrRcxEUVFRlKNDrVZDoVDw/kFVaGmSwKkDSSGIYXztJpkKJpMJzz33HM4++2w8/vjjOHjwIACgubkZ559/Ps466yw0NTVh+fLlCV8fCASiRK9UurzKZLK4NMdMrwt8X3NSJR/HS7OwNBU0O5zIWj6X91KtVmPFihXwer2wWq3o7u4GMCmKHT16lBXF6urqUho/38SwXMfIMAyqqqpQUVGBAwcO4L333sPhw4dhs9lgt9sxMDAw488oKirC0qVLsWLFClb8Ou2007KWysenrpdA6sKSQqHA4sWLWVGstbUVoVAIkUgEbW1taG9vR01NDUwmU0bExtiY+eSwImKYSCRKaW7w5TkhkFkEMUwgr6C5gD5w6gHOR4EkGAzG1fZK1tVBkMlkMBgMeZ/OVGhpkkDhimH5Pt6FCxeiqakJzc3NeO2113Do0CEAwAcffIAPPvgA3/3ud3HTTTdBp9NFrQ/JCuIk/ZkrfuWqeDCQv+JmocGXQw7NAt5cnGGxaDQarFy5Eh6PB1arle2oNzY2hiNHjrCiWG1tbVK/jyahaSpymSYJTL5HDoeDTXEkX319fTO+VqlUYvny5azba+XKlVi4cGFO92x8E8Nm62QrKirCwoULYTKZ2HTJYDCISCSCjo4OdHR0oLq6GmazGRqNJq0x89UZRuLO1zOFQGbhz0wXEEgCPjjDALCf9tC2+QWii1dzD7epFrXnfn322WcAJgtbNzQ0ZDJ8KijUNEkg/8UhIL8K6CcDwzBYuXIlNm/ejFdffRW7du1Ce3s7AOD3v/89Xn/9dXzzm9/ExRdfDK1Wm/BniEQiqFSquDRHWjbcNK7FAqnBRyGTZjEsEwXqtVotVq1aheHhYVitVrZsAulIaLfbYbFYUFNTM+37QXPjAUI20yRDoRBOnjzJCl+kuH0yjaTUajWMRiPMZjNMJhNMJhNqampQXFwMi8WCqqoqKt7jZNMOaWGu8cpkMsyfPx9GoxEulwsul4t1QHV1daGrqwuVlZUwm81RRoBcxpwryPuSTPF8LjTMa4HcQ8cuVEAgTZSWlrL/T1s3SSC+iH6uP8UIhULw+/1Rwpff7086jZNb1J7r6oh9wJB6UoUmDAGFIZYAhSuG8fEAngwTExPw+XxRHRz/7//+Dw0NDXjwwQfxzjvvYPfu3fB6vQgGg3j77bfx/vvv48ILL8SGDRtQUVER5fiiocurQH5Ds7A0FTTHTGLLRFzFxcVYvXo1hoaG0NLSgv7+fgDAyMgIDh48CJvNBovFgurq6oS/nw/OsEzFGAgEcOzYsSjH18GDB5NKQ6+oqIhye61YsQJutxujo6NsXUbyQbLP50NzczPUajXMZvOU1yJb8M0Zli6XlVQqhcViQWNjI9xuN5xOJ+u87unpQU9PD8rLy2E2m6POQHOJWSKRULceTQX3bJHrM5UAPxHEMIG8IraAPm3uq1yKYaSGD7e218jISFKHebFYHOXqIF/JbkjEYnFBiWHc7oqFMmauGEbbfZdu8qlmWCQSwfj4eFw3x0ROUDJWqVSK9evX46yzzsJbb72F119/HePj4xgdHcVvf/tbvPfee7j11lvxgx/8gBrnV7Lw8XqGwhF8cKIPvb4AIhFAp5JiYZUael12OpDRCC3rz0xx0CyGZcIZFktJSQm++MUvYnBwEC0tLWztKr/fjwMHDrCiWKw7iQ9iWDrSJIljjtvR8fDhw0mlodfV1cUJX7W1tXHzzOl0Apjcn65ZswZ9fX2wWq1Rohi5FrkUxfhWQD/d8UokEphMJhgMBrS2tsLhcLAfVvX19aGvrw86nQ5msxk6nW5W14grhvGF2YiOtK21ArmFP7NdQCAJaHeGZaOwejqK2nOdXukoXi0WizExMVEwwhBQeAJgrECUz5sNvqZJhsNhjIyMRIlexNmVDEqlElqtNmptWL9+PZqamnDPPffghRdeQCgUQnd3N66//no89thj2LZtG9avX0/9fKA9vukYmwjD1jeCiVAY4QjgHQ/CNTCKhlIF1i4og1RMp1iQbvgoZNKc7pdJZ1gspaWl+NKXvoT+/n5YrVYMDg4CiHYnzZs3D5WVlWAYhhdiWKppkl6vFwcOHIhKczx27FhSewij0RglfC1fvhyVlZUpxSkWi8EwDCoqKlBeXo6+vj7YbDa2IzgRxaxWK8xm84yprOmGz86wdMYrFovR2NgIvV6PtrY2OBwOjI6OAgAGBgYwMDCAkpISmM1mlJeXp3SN+C6GpWowoG3NFcgN/JntAgJJoFQqIZFIEAwGqa4ZBiAtHSVJUXvu4TbZovYMw0ClUsWlOWbCrcatlVYoFFLaIBCfGkrrASUd8MEZFgqF4kSvZNcGki5DUmZ8Ph8AYOXKlSgqKor7/pqaGjz44IO49tprsWPHDrz55psAgJaWFlx22WX44he/iDvvvBNf+cpX0jvIDMEXMTcQnLyWEURwtNMLf2ByfVVIxWgonezw9rF1AGctKJ/8Pkrnarqg2WU1FVzBibaYs+EMi6WsrAw6nQ4DAwNoaWmJEmL2798PrVYLi8USJS7Q+qyZTrAbGBhgUxyJ48tqtc54jzIMgwULFkSJXsuXL59TehzZl3HfU64oRgRKci38fj+byppNUYzPYlgmxCWRSAS9Xo/6+np0dHTAbrezqbJDQ0PYu3cvtFotzGYzKyJPB/fDWz6JYaReGJBa3LSttwK5gz+zXUAgCUQiEbRaLQYGBuDxeKg71MxWDIstak8Ot8kWtZdIJHEpjiqVKmubSLJxCYfDeS+UEPjcOXQ2FFKdNNqcYdwUaPLfZOrHAJNFemO7OXKdoIcOHWLFsJkOavPnz8fLL7+Mf/7zn9i6dSs++eQTAMBnn32Gb37zm/jmN7+JpqYmLFq0aA6jzQw0PSeSYXQihInw5PWYCEXgD4RQLP//7L15fBv1nf//Gt2nT1k+ZFvW5ThxHDuEhNCw8ANCOXZ7LOy3tLT0oKW0ZVvY7pZuyxJSoAdtt9DSpRRatheULaVL6UHIFngQGlICCb5iJ7ZOy/cpW7JknfP7w8wwknyMbR0z0rweDz9siI7P3J95zuv9ei/nvPhCUQxMLqKlWgPHdBAd9RFUqPPXoTMf4sv2zKX7aqPK19gIgqChWGrJ3sLCAk6fPg2VSkW/nqvzCera7/P58NJLL+HcuXM0/PJ4POu+XyKRYMeOHUlljm1tbdBoNBkbI0mSSc6wVBEEAZ1Oh8rKSszMzMDhcNCuPQqK2e12Ot8tm9uCb+HuuYJ3IpEI9fX1MBgMGBsbg9PppK/ZCwsLeOutt1jlvvG9kySwvjOs0B8ICdqc+LO3CxLEQgRBoLS0FLOzs7x1hsXjcQSDwbQyR7bwTKlUpoEvuVye18k2cyJQbDCsGDK0gOLqoJkv8EeSJEKhUJrji20JNPPcQP1eyenF1GaaBVxwwQU4cuQIjhw5gsOHD6O/vx8AcOTIERw9ehQ33HADvvrVr6K+vp7V5+VafDhendNBgLE5TJUq6DTLwGshFMW5yUWMLYShVUgwOLWIC4oAhvHxRoerMIwkSXps+bpeM91JU1NTsNvtdPwFE/YvLS1x4pglSRLDw8M08Dp27Bj6+vroHLS1JJfL0dbWho6ODhp+tba2QqFQZHXMbIENE4rNzs4mlbJSTQ+Y5ZPZ2Gf4lhlGzdlFIlFOjiGCIFBXV4fa2lpMTEzA6XTSxwtV4jo4OLjqNuIrDGM6wzZS2ZLv84Ug7og/e7sgQSxEEAQdoj8/P8858JKaGRaJRNLKHNmG2otEorRsL7VazcmLGHO5Y7EYJ8eYaVH7HXVTUegX3mJ1hmXrBjyRSGBxcTHN8cUGNBIEkXZu0Gg0mzruNrusBEHg6quvxrvf/W78+te/xte//nWMjIwgkUjgV7/6FX7729/iM5/5DP7lX/5lyx2wilH+peSHI5Xqd24CSpRSyCUiLIaXXxNYSt9nCv18xJfl4zIMo5TvsREEAb1ej6qqKkxOTsJut8Pv99P/Pjo6ilAoBKvVisrKypyMKZFIwOVyJXV07OzsxPT09LrvVavV2LVrV1LGV0tLS1464W005J/p2lsJivX09MDhcMBsNqOuri6j82++lknmer5LEARqampQXV2d5qyktpHdbofZbIbBYKC3USHAMCFAX9BmxJ+9XZAgliotLQWwPFkJBAJJHSbzJZIk6eBqSna7HefOnWP1/myE2udSuWgcwDWlLjOXoGw2VEwwLNOZYbFYLA16LS4usvpsiUSSVuaoUqkytr9tFfyJxWJ85CMfwXXXXYcf//jH+N73vgefz4elpSU8+OCD+NnPfoZ//dd/xS233JJ1F8Ra4su5lFJqKH4kloBcunzOiSVIROMkZJLlZZKI+bVsm5XgDMucuBhQTxAEqqurodfrcfbs2aRSw7m5ObzxxhuoqKiA1WpFRUVFxr43Ho9jYGCABl9UuD2bJk1qtRpmsxmXXnop9uzZg46OjrTMs3xqs4CJgmLM8knKARcMBtHb20tnimUKivENhuU7f4vprEwFl6FQCGfOnIHD4YDJZEJ9fT1vYdhGA/Spcy3XzrmC8if+7O2CBLEQVSZJaX5+PucwjBlqz/xJBQQrQaGVQu01Gg1kMn6XuBQ7DCt0OAQULwzbyLKSJIlwOJxW5sg2+08ul6eVOSoUiqxO6jLlglMqlbj99tvx0Y9+FA888AAeeeQRhMNh+Hw+3HXXXfjxj3+MO++8Ex/84AfzfqPDB6hiKEsub7VPB1FfpoCIIDA6v4QESUKnVrz92vxBxlyKK26meDxOuzqj0SiqqqpWdT9S5w+u3ZhxucslQRAoKSmh/1smk9Gl4rOzszh58iQqKythtVo37DqNRCLo7+9Pcnx1d3ezymCsqqpKcnsRBEFHVFxxxRV5P6+tpI12vFxJFBSjgAsFxUKhUEahGN9gGAVp8j1WJricnZ2Fw+HAzMwMgOUS4/7+fjgcDlRVVdHvyYdLcbPabIC+IEGUhL1GUEFpJRiWLVE3tqnZXlSL4/VEjZVZxpTLUPtcinmBKhYYVkwZWkBxwTA2gIhyg6Y6vpgTt7U+X6VSpTm+8jFBzXRJaEVFBe699158+tOfxje+8Q08+eSTdNbOZz/7WTz00EM4fPgwrrzyypzehHPthn891ZQoQB1yIoJAMBLHwOQi/e+lSgmqS2RQycQwVS6HjfMB8mVKudqelKuTeZynRh04nU7odDrYbLak+QnAXWcYc/xcnJMwrzE2mw1isRh2u52GVjMzM5iZmYFOp4PVal3xoSgFa5gdHXt7e1llMBoMhiTw1dHRgbq6uqTteOLECXoOysV1CGQWMFVUVGDfvn2Ym5uD3W6ngQsTiqWW5m1EfArQp7JiAW4BmoqKClRUVMDn88HpdGJychLAMgQeGRmhX8e189FaYusMK5bIEkEbF3eOUEGCMiTmZJONjZ2NqPwe5k3tRkPtqbDq4eFhAIBer0dra2tGxsd1Cc6wwoZDQPHCMKodeWr230pu0JVEZf8xoZdarebMZD9b+WgNDQ340Y9+hH/+53/G4cOH8cILLwAA+vr68IEPfAAHDhzAPffcg71792bsO9mKL9BILlk+5iQiAi3VGsyFoiBJEmVKKUqVUohFBC5rroRYVByT/2w7w6iurUz4xfbh1/T0NKanp6HX62Gz2aDVapPGzLUbNC47w4B0R1NdXR1qamowNjYGu91ObxdqvatUKoRCIQwODtJljv39/azmIyaTKQl8tbe3Q6/Xsx6jSCTi5DoENp4Zxkbl5eXYu3fvilCMKs2zWCwbhmJ8CtDneslhWVkZzjvvPCwsLMDpdGJ8fDzp3+12O+LxOIxGI+crUzbrDOPqMSko9+LeESpI0BbFfAK4GWcYM9R+tSe9q4kZas+8saVO0OFwmIZhxQKFgPQA/WKQ4AwrTEUikSTIPjk5ibGxMVbvlUqlaWWOKpWK05OybI+ttbUVTz/9NP7617/i0KFDePPNNwEAx48fx+WXX473ve99OHToEGw2W1bHwUeJ3t42YhGBEoUEWsU7U7raUjn2N5XTHSaLQZmCmCRJYmlpib7+Uz9sHENU1IFWq4VWq4VIJILH46HhzOTkJCYnJ1FbWwur1Zr3jo2riU/OMGp8IpEIBoMBcrkcL730El555RUMDAzA4XBgbGxs3f2DIAhs27YtCXq1t7dvusEHE4ZxVdksPWRCMYfDQTcXWFpaoqGY2WxGfX09q3XEpzJJvrjYSkpK0NHRQXebpBpTJBIJOBwOuN1uNDY2oqmpad3O0/nSZjPDBAmiJMAwnuq1117Dz3/+c7z66qsYGRkBSZKor6/HRRddhI997GM4cOBAvoeYNzFhmM/nW/V1zFB7JvhiM+EFlnMqmCWObG5smU8tigUKAYIzrBiWudCccNQNcWqZYzgcTnrdatuWcoMy4ZdMJuPdRCwXnTMB4KKLLsKLL76I5557Dl/72tdgt9sBAL///e/xxz/+ER//+Mfx5S9/GTU1NVn5fr5tF6YUUhE+dH4dpgIRkAAqVMvOsGIW2+25Ujmz3+9ndX1mujqpn9SoA4lEgsbGRgwPD8PhcNDnj7GxsSQ3Btf2P744w3w+H1555RW4XC663JEZrL+axGIxWlpasGfPHtr11dbWBo1Gk7ExUtcGLsOwTGSGrafy8nKcf/758Pl8sNvtSVCsr68PTqeTFRTjEwzjk4sNADQaDXQ6HQ3DCIIASZKIx+NwuVzweDxoaGiAyWTKa6OblSQ4wwRtVdw/QgUlaXFxEV/4whfw+OOPp/1bf38/+vv78dhjj+ETn/gEHnroIajV6jyMMr9ayRk2NzeH06dPo6+vD1dcccWGyphWyu/ZbKg9ZZenLjLFomIDQ0DxOKUo8Xl5VyqD9vv9rPfVVOil0Wh4MQFmo9SS0Gx/1/ve9z5cc801+MUvfoFvfvObmJycRDwex09/+lP8+te/xq233orbbrstKUA70+JLmSRTarkEanlh7HOb1XrbjTrOUwE3m+Oc2bWV+mHr6hSJRGhsbITBYMDQ0BCcTiei0WjSeCORCMLhMGfcF1xzhpEkCa/XS4faHz9+HD09PXRY+1qSy+Vobm5GQ0MDjEYjLBYLGhsbIZPJUFNTA6vVmlEIRok6X3IZ3OQSMJWVldFQzOFwYGpqCkAyFKM6G640FmqsBEFwYp9cS3xxhjHF3Bd2796N6elpDA8PI5FIIJFIwOPxYGhoCPX19TCZTFCpVHkc7TtiNirg+n4hiJsq7pkTzxSPx3Httdfi6NGj9P9TKpVobW2FRCJBX18fXb7z3//93xgZGcGf//xn3pyIMyGSJBGNRkEQBHbs2IGnn34aP/jBDzA6Okq/xmg0rjrxoSa8qWWOmTrBEgQBsViMWCwmOMMKXMW2zHyBYVS3V+YN8eLiIisAQp0fVCoVfU6pqKhAR0dHtoedN+Xj6alUKsUnP/lJXH/99Xj44Yfx/e9/ny5X/853voPHH38cd9xxBz75yU9mLM9EeEpcWCJJEvPz80n5XoFAgNVxznR9U+ArE11bxWIxTCYTGhoa4PF44HK56HlANBrFK6+8AqPRCJPJlPecnpXKEHP53S6Xiw61p35T2VNrSa1WY9euXUkZXy0tLZBKpYjH4/B6vXA6nXQFwPj4OMbHx1FXVweLxZLRB8jFXia5msrKyrBnzx7Mz8/DbrcnQbH+/v4kp9hKERt8uKfhekdZ0UUAACAASURBVGbYSmI6rNRqNfR6PcxmM1wuF7xeL90UwOv1Ynh4GLW1tRk/ZjYjatzrlUimnvuFa74gSvw4QgUBAO66664kEHbzzTfjW9/6FioqKgAsu8buv/9+3HvvvQCAo0eP4tChQ/j617+el/FmW5FIBH19fejq6kJnZyf9e25uDgBw5syZFd/ndruxc+dOuoyJ+ZOJCe96kkgkAgwrAhXbMnMNhpEkSQdeM+EX28BruVye5ARl3hDHYjEahvHRRbQR5apMciVpNBrccccduOmmm/Dtb38bP/3pTxGNRjEzM4Mvf/nLePjhh/GJz9+BtouuhEQiRlOlEk0Vyi2fwwt9mwKFdSMQjUYRCATozmgAMDIyktQdbTUpFAoaeFHHebbdWRKJhHYnvfjii/T/pyDQ0NAQmpqaYDKZ8nYjne1mBJTi8TgGBgaSwFdXVxer5kdqtRpmsxkXXXQR9u/fj46ODlit1lVhiVgsRlNTExoaGjA0NASXy0VDsdHRUYyNjdFQLBOuFz6USWYjQJ+tSktLV4Ri4XCYhmIUPBaLxfRY+QCX+FYmCawM8BQKBbZv3w6LxQK32w2Px4N4PA6SJDE6OorR0VHU1NTAYrHQTUFyLQqG8WU9C+KehD2HJxodHcUDDzxA//eNN96IRx99NOk1arUa99xzD0iSxH333QcA+N73vodbb70VdXV1OR1vtnT06FE88cQT6OzsRH9/f9KTjNUkk8lgMpmwfft27Ny5E1dccQVsNlveTpzU9xYDIKHEXNfFstxcg0PZVj6Xl5n/x4RfbM4PwPK5cyNl0PkERLkWF5ZVp9Ph29/+Nj772c/i3nvvxW9/+1sAgMfjweF/uxU64zZc8IFb0bDzAtSUyvH/dteioVy5oe8oJDhUyAqHw2nB9ktLS6zeq1KpksocNRoNq8DlbIl5XZTJZIjFYnR3WofDgaGhIZhMJhiNxpy7YbLhDItEIujv76fBV2dnJ7q7uxEMBtd9b1VVVZLbS61WIx6PgyAIXHjhhUldxNcT06FHQTGqbHVkZASjo6MwGAywWCxQKjd2HqFEkiR9vuSykykXmWHriQnFHA4HDbXD4TDOnj0Ll8sFk8nEW2cYH8YLrB1EL5PJ0NzcjKamJgwNDcHtdtOvp9yV1dXVMJvNGzoWtyqqhHOlMa8m4VovKFUCDOOJHnzwQXrCp1Kp8OCDD6762rvuugs///nP4fV6sbS0hO9///u4//77czXUrKq/vx+/+MUvVv332tpa2Gw2HDt2DDqdDvv378fPfvazvJccMEVdGKmTOJefGmZKxdhNUnCGZUfxeHzF3B8238kMvGaWQW90sspcVgGG5U4mkwmPP/44Lrnu4/jWffdg5MxJAMC05xz+9J0voHr7Xhy4/p8xsxjFZy5q3DAQE8QdMRtYMI/1jTS4qaysTAJfXLspZR5ParUa7e3tcDgcGB4epiMfBgYG4Ha7YbFY0NDQkLP5wladYaFQCD09PTT06uzsRG9vL6vtZzAYksBXR0cH6urqksbR09NDO/82u04kEgnMZjMaGxvh8XjgdrtpKDY8PIyRkRHU19fDbDZvGIrls8x0I+JSKH1paSnOO+88LCwswG63p0ExSlxen5T4WCZJjXmtTDaZTAar1UpDMQokA8DExAQmJiZQVVUFs9m86S6sG9Fmw/MBAYoJekf8OEIF4X//93/pvz/wgQ/QpZErSSaT4ROf+ATuueceAMDvfve7goFhVDYP1Qmoo6MD7e3t9G+9Xo+5uTlUVFRgenoaCwsLeX3yu5JSO0pyCdRlS8UGhoDC6664nrIBw6LRaBr0CgaDrKCMVCpNA19sA6/XE0EQdCOMQt+2XIJhALCwFMPZmB5X/esPcPL4K3D8+TEEx5Y7T070v4HfHf4YrPuvhMj/BdzzoYs2tb25sJzFJGZHRyb8YvPgRCwW08c3QRDwer0AQOfZcFmpwEmhUKC1tRUmkwl2u50uxaYcVS6XC1arFXV1dVkHAhuBOX6/n46poFxfZ8+eZXWtN5lMSeCLmsdlcnzriVm2SkGxWCyWlI/U0NAAs9nMupNePssPNyIuwTBKJSUlNBRzOByYmJhI+vdAIACXy4WGhgbOgiY+l0myuWdiguTh4WG4XC66U+7U1BSmpqZQWVkJs9mMioqKrIGntdxsa0kAYYKY4scRWuQ6d+4c3WYeAK666qp133P11VfTMMxut+PcuXPYtm1b1saYK+3duxdvvvkmWltbV52UUE6PeDxOd5PkkgQYVhwwjDkBLoZl3goMo1wgqWWO1ORqPVG5P8zAa5lMltUJDwXDCh2ccA2GveHxIZ4gMbawBLX5PFx2x2NY7D+GN373CALTYwAA+99ewENvvIjpv30c9x76KnQ63bqfWwyTYy5sP2ZHRyb4YnPOkEgkafleTMA9MzNDwzA+bM/V3FcqlQq7du2C2WzG4OAgDQOWlpbQ29sLp9MJq9WK2trarC3namObnZ2lnV4U+LLb7evuWwRBYNu2bUnQq729fdPukWw4r6RSKaxWK4xGI9xuN9xuN52PNDQ0lATF1suV40L5IRtxGdqVlJRg9+7d8Pv9GBgYoDPFSJLEuXPn6PJJLkIxPpdJbmRdSiQSOodvZGQETqeTrmKamZnBzMwMysvLYTabodPpMn6+2oozTJAgSsKewwN1dXUl/feFF1647nvOO+88yGQy2pLe3d1dEDBMpVJhz549a75GJBKhtLQUs7OzmJ+fB0mSnJoYF2N+VjHCMMEZtrISiQTtAmHCLzYuEIIg0vK9tFptXiZB1Dml0Lct12CYZ3a5AYIvGIVUTMBQrgRx4CpY912G7hd/h1O/fxyx4DwS8Rie+NlP8Nwz/4PbbrsNt956K+uuV1xYzkJQPB5Py/di27mV6ujIhF8baXDDpWv+alqvFFGj0WD37t1pAePBYBDd3d1wOp2w2WzQ6/UZX95EIgGfzweHw4GXX34ZHo8Hb731Fjwez7rvlUgk2LFjR1KZY1tb26pdvDc7PkqZhjhSqRQ2mw1Go5FuaBCPx5FIJODxeOD1etHY2Aiz2bzqw0yhTDJz0mq12LFjB1555ZWk/x+JRGgo1tTUhMbGRs4AEb45w0iS3BQMoyQWi9HY2Ij6+nqMjo7C6XTSWYBzc3M4deoUSktLYbFYUFVVlbHzFROGbaSbJB+uD4JyJ+4foYLQ399P/y2TydDQ0LDue6jXORyOtM8odBEEgZKSEszOzrLqSJRrFWN+FkEQtFuvWGCY4Axb3r8DgUAS9AoEAqxuhpnlT8x8L67cWIhEIto1UMjiGgxLJJbHQAIQiwh6fGKpDG3vvh5x6yWYOfEMvMeeRiyynDl133334bHHHsNXvvIV3HjjjStOmoXJ8daUWtLs9/tZBaMDyR0dmc7OjYoL++dGxPbmjAoYn5ubw+DgIGZnZwEsl4u99dZbKCkpgc1m27TzgioHZOZ7nTp1Kq08bSXJ5XK0tbWho6ODhl9rOfczpVzAJplMhm3btqGpqYmGYlTWq9vtpqGYyWRK21+57Lhiio8ONr1eD5FIhPHxcQDLUGxgYIB2inEBivHNGZZIJOjz0VbWnUgkQn19Perq6jA+Pg6Hw4HFxUUAwPz8PE6fPg2tVguLxYLq6uotX3c3k80mXOsFpUqAYTyQ2+2m/66vr2d9IDc2NtIwjPkZhS6CIFBWVgZg+eTLtZD61DLJYlGxwbBic8Mx9+XZ2VmcOHECoVCI1XspFwgTfimVSk5PWorFGcYUF2BDdYkcA5OL0MolWFiKwReMokwlBUmSGF8IQ6JQY/f7b8ZF7/kgAieewnNPP4l4PI6JiQncfvvt+OEPf4i7774b733ve1fdv7iwnFwVSZKIRCJpwfZsOzoynZ2Z7ujItyf/zHMHm/GWl5dj3759mJmZwcDAAB0DsbCwgFOnTqG8vBw2m23NTNlEIgGXy0WXOFK/Z2Zm1v1+KuSfKnPcvXs3Wlpa8pLLytzW2Z7fyeVytLS0wGQywel0wuv10l0/KUjW1NSEpqYmel3wETLxZZwKhQI7duxAIBCA3W6noRjVcIJyihmNxrxBMb4F6Ge63FAkEqGurg61tbWYmJiAw+GA3+8HsJwx2NnZCbVaDYvFgpqamk0fwxtxhgH8uC4Iyr24f4QKok8gADbUsrakpGTFzygGUeuJ6jyXy1a/66mYYRhQPMtcqGWSJEkiFAqllTkyu4StlfWlUqnSHF98zM2jJm+FDk645gzbayzFq/ZZ1JTKEQjH4J4NQeEPI54gEY2TkElEqFTLUKaqwVcf+SGcX7od99xzD37/+98DWM7QvPHGG3H++efj3nvvxYEDB3Iy7liCRO/oArxzy9DIWKFEa60WYhF3J+epHR1XOtZXE0EQacd5Ljs68uGmZ7PwrrKyEvv378fU1BQGBwfp+d3c3BxOnjyJyspKNDc3Q6PRYGBgIAl8dXV1sXLMl5SUwGg0wmKx4OKLL8bBgwdhsVg4A0zyUYYol8uxffv2JChGkiTi8TgcDgc8Hg8NYfhYJsnlca7ktNJoNOjo6EAgEIDD4cDY2HJmZDQaxeDgINxud96gGN/KJLMF7wiCQE1NDaqrqzE1NQWHw0FD/MXFRXR3d2NwcBBmsxkGg2HD+6AQoC8oE+L+ESoIgUCA/nsj1nNmK2jmZxS6CIJIgl/z8/MCDOOAqAlMMbikgMIok6RgcmqZI5vlEYlE0Gg0STfCubwZzrao7VtIoHMlcQ2G1ZQocEFTGV53+2DVqzG+EIZ/KQYRQaBSI0WNVgGxiMB72vQQiwjYbDb88pe/xMmTJ3Ho0CG89tprAIA333wTV199Na666iocPnw4q8v5lnce/3N6DAuh5PN9uUqCD51vwM46bUa/j41Sbwa2kuXHLGmmjvV8lDRzYf9M1Vo3XVtxshEEAb1ej6qqKoyPj6O/vx9nz56F0+mE0+mk4Qwbx15VVVVSR8eOjg6IRCI6XqOtrQ0Gg2FD48u2qPMu1dk3l6KcSRQUGx4epjOX7HY73G53UkdMLl/z+OgMSx2nRqNBe3s7LBbLmlCssbExZy5GvpVJZtvJxjxfzczMwOFwYG5uDgAQCoVw5swZOBwOmEwm1NfXs15nbB1tXLw2COKOBBjGA232JMV8LfOEUehaCYZxScVWPkeJWm6SJDlXupoN8W07R6PRtG6OwWCQ1SRCIpFAo9HA5/MBWA683bNnT0FvY+oGrNAnWVyDYQDw/vYaAMDrbh/Mlaqkf5OICbx/Vw066pMfgOzbtw/PP/88XnjhBRw+fBh9fX0AgCNHjuCFF17ANddcg/e///2oqqrK6FjfHPLh8deGkSBJzAYj8C8tnwtKFBIkSBI/etWDWy5qxC5DyTqflFkFAgHMzc0lHfNswK5UKk0CX1qtlpMlzVwbz0rabKlfKBRCT09PUsZXb28vK8eewWBIA191dXVp64sZrcHFdUntq/m8xiiVSrS2tsJsNsPhcGBkZISGYqOjo3kb10bEXI9c3M6U2DitmFDM6XTS24CCYszyyWxDMeq+TSwWc3q9UspVWSdBENDpdNDpdJidnYXD4aBLtJeWltDf3w+n00l3qFxvLBtxhjGbqfFhmwjKnQQYxgOpVO9M9tnmcqS+lm0XrUIRl2FYsTrDUrtoFjIoAZYvtiKRiA7c5YpIkkQ4HE5zgLA9t1Bh10zHF9Vm/uWXXwbwzrIXsoolM4yLMEwsInDd7locsFTgDY8PE/4wJCICxgoV9hpLoZGvPLUhCAJXXXUVrrjiCjz11FO477776BvYP/3pTzh69Cj+/u//Hi0tLUnX3c1qKRrHr98cRZwk4ZoOYimWAIHl8P/FSBy+UBSmShWeeGME22s0kIozf8xQTSz8fn/StbC3t3fd98rl8qRjXavVQi6Xc/ZGgm+ZYWzG6/f70dXVlZTvdfbsWVYPWGpqamA2m2E2m2GxWHDgwAHs3bs3qWqAzdi4eC7nAgyjpFQqsXPnziQoxpTb7YZEIkFjYyPnXELUfsS1caVqIw42jUaDXbt2JTnFUp172YZi1Hj5UCIJ5CfjrKKiAhUVFXTXWqpbbjgcxrlz52gotlaZa6azzgQVp4Q9hwditqNmG0gNIKmTUyZbWvNBVIA+AM51lCxWGJbqlMpH6G6uRcGwfDnDqNKnVMcXm/2OIIiksGuqzHGt7UYQBO38K3QxM8OYTxwLTVyEYZRqSuR4T1v1ht8nFovx4Q9/GNdeey0effRR/Od//id8Ph+i0SieffZZvPzyy/i3f/s3fPrTn2YFDlbTae88QpEEpgMRLMUSKFdKUVOyDI7H5pfgW4phZjECEUGga2QB5zeWrfOJaysSiSR1cwwEAqw7OiqVyjTwxbcsP67tn+spFYbNzs7STi8KfNnt9nWXiyAIbNu2LcnttXPnTiwsLMDpdNI3jMFgEMeOHUNDQwPMZvOasRtcz7ziEgyjpFKp0NbWBrPZjJ6eHtopHY/Hce7cObhcLpjNZjQ0NHAGPhUiDKOkVqtpKEY5xVKhmNFoTGp8kCkxnWF8UD4D/8vKyrBnzx4sLCzA4XDQXWyZjj6j0Qij0Zh2TdpoZpjgDBO0kgQYxgPpdDr6b6oWno2oDivAcuBqMYkJw6gJCVckwDB+lA1mQmKxGLFYLCdwKBaLYXFxMQl6LS4usvpuZuYP9XszmT8ikQjxeLwoYFgqJCrUyRWXYdhWpVQqcdttt+GjH/0o7rzzTvzP//wPotEo5ufncdddd+GRRx7BnXfeiQ996EObuqlxzSw/vFpYikFEALWlcojeXp+1pQrMLwWwsBRDlUYO13SINQyj3J3UcRaNRnH8+PE1G1ekSqfToby8nD7eC+GpOp+cYRMTE3jttdfwxz/+EQ6HA0NDQ6xK6yQSCXbs2JEEvtra2lZ84FlZWYmGhgZ4PB64XC7EYjGQJImhoSEMDw/DaDTCZDKtCD25vi65CMMoqdVqGAyGtLlnJBLB2bNnk6BYvsfP5fXI1FYyuNRqNdra2minGBOKUdl6q8GWzYj6bIA/biUudL8sKSnB7t274ff74XQ66ftdaju53W40NjaiqamJrkYQnGGCMiFhz+GBtm3bRv89MzODYDDIqoTD6/XSf7e0tGRlbFwVE4ZxrUyyGKEQkLzcxQIBqQlmprdzJBJJcn9sxAEik8nSyhwzlflTTDCMefNQaJCIqXzCMF8wip5RP3yhKOQSEaxVapgqM59PVV5ejs9//vO45JJL8NRTT+Gll14CSZIYGRnB5z73OTz00EM4fPgwrrrqqg19d+Lt9UXBUuY7RQRAEAC1Sldbtyt1b/X7/YhGo/SNQCKRWBGEiUQiqNVq2uk1NTWF2dlZAIDVas1IKShXxRWAk0gkMDIykpTv1dnZyQp8yeVytLW1oaOjg4Zfra2tG2qkJJFIYLFY0NjYCJfLBY/HQ5+jXS4XhoaG0NTUBJPJlHQzKTjDtibmNb+5uRkLCwv0A+pwOIz+/n4aitXX1+dtOQrZGZYqyrlHOcWYGW8UbKGcYluBYsxjhy+AZrNdGbMhrVaL9vZ2WK3WJEdfPB6nz2ENDQ0wmUz0NVAikXDmnC+If+LHUVrk2r59e9J/d3Z24l3vetea7xkZGaHrr1f6jEKXkBnGPRUjBKSWebNwiLoRTi1zZBOUDCxP/pgdHbNd+lQsHRaB5JvtRCLB+ZuJzSofMCyWIPHn3kmc9iafu19zzqFaK8d1u2ug18oz/r1VVVX4/Oc/jzvvvBPf/va3ceTIEQBAf38/rr/+erzrXe/CPffcg3379rH6vLrSZWihkUswG4xiejEKnXr5RmMyEEGCBDSK5euBoUyR1NGRebyzOV+KxeK0MkeVSpV0k801l3SmlW8oTQGmrq4uOueru7ubDoheS0qlErt378bu3bvR3t6O3bt3o6WlJWM3plKpFM3NzTAajXA6nfB6vXQJP+VMM5lMaGxshEQi4Y0zjItjA5KvgWq1GmazGX6/H3a7nS4DW1paQl9fH5xOJywWCwwGQ06hGDPSgOvXr0x2vVSpVHTGGxOKxeNxOJ1O2im2WSjGt06SADecYaliOvpcLhfdtTWRSMDj8WBoaIg+/tcbc+q1gavnDUH5ETf2eEFrat++fZDL5fST37/+9a/rwrBXX32V/luhULCevBeKuOwME4lEdJaUAMMKW0w4tF4pXSKRSCtzDAQCrNYV0wHCLHPM9aRmq/CPTxKcYdkRSZL47ekxnJ0IIBiJY8IfRjASh0REQKeRgQTw338bxs3vakCFOnNgl7mcLS0t+M1vfoPjx4/j0KFDeOONNwAAr732Gg4ePIj3vve9uPvuu2Gz2db8zH3GMjzbNYEqjQwLSzFM+MOYXVwG2dFEAhIC0EgSiCwtgpyy45g3yLqjo1arpY83mUyGiy++WJjgM5TtdRGPxzE4OIjOzk4afnV3d7PKKC0rK0NHRwfdqMFiseDCCy/Ejh07sjpmYNlttn37dphMJjgcDvoGMxqNYmBgAG63GxaLJem6wzX3FRPicG1slFZy1mm1WuzevRvz8/Ow2+30A+ulpSWcOXMGTqcTVqsVtbW1OVmuTAKmbItNN8mNig0Ua2xsXLWUOJdjzba4CMMoqVQqtLa20lCMAvlUXivwTkzIes3ihGukoJXErT1e0IrSaDS4/PLL8ec//xkA8MQTT+COO+5Y8z1PPPEE/ffll19edN0ky8vL6b+5BsOA5YtNJBIRYFiBK3WZqUlGNBqlyxsp6LW4uMgKNkgkkrQyx1QHSL5UzM6wQlWuYdjA5CLOTgQwvxSDY2oRJLncPXIpmkAgHII/HENThQp/OTeND5xXl5UxUMt54MAB/OUvf8Ef/vAHHD58GHa7HQDw3HPP4U9/+hM+9rGP4d///d9RU1Oz4udoFRL8Q5sez3aOobFMikl/BP5wFCBJKEQkSqQkwsEIzq8mEQmuvG6pjo7MH5lMBoIg6PMJQRDCJB/Z2z+prCfK7dXV1YXe3l5WpelVVVV0thf1u6mpCQRBYGZmhgatub4BVSgUaG1thclkgt1up8s2I5EI+vv7k65dXNu3uN7pEsCaMLG0tBR79uyBz+eD3W7H9PQ0gOUGWT09PXA4HDQUy+a65zLwTFU2wR0FxajySQoQU2V5Q0NDG4JiXAZLq4kPY1YoFNi+fTvMZjPcbjeGhobo/SIWi+HVV19FbW0tLBZL0TWNE7Q1cXOPF5Smj3/84zQM6+7uxh/+8Ae85z3vWfG1p0+fxvPPP5/03mJTqjOMawHX1MW8WKAQkHyBLZblZk4w3W43nf2ztLTE6v0KhSIt2F4ul3NqX2aKGhcbJxzfJTjDsqM3h5YfXgzPLYfPW6pUKFVIEI2TcEwHMROIokoTR/94AIvhGNTyzExjVttXCYLAe9/7Xlx99dX45S9/iW9+85uYmJhAPB7H448/jqeeegqf+9zncPvtt6OkpCQtz0+7sACLOIxTiwS0BKBlxD2JCOACPYmdFcvrlSprpqCXRqPJWllzIR6bmSjtC4VC6O3tpZ1eXV1dOHPmDKvSdIPBgPb2drS3t6OjowPt7e1obGxcFTRsZry+YBSumUUEwstuyeoSORrLlZCINwczVCoVdu3aBbPZDLvdTudaMa/RMzMzKCkp4cw+w/U8MyB5jKvBm7KyMpx//vmYm5uD3W6ny2mDwSC6u7tpKFZTU5OVdc8nZ1guSg+VSiVaW1thNptpB9JKUIwZ4J6vsWZafAqil8vl2LZtG+rq6nD8+PGkfxsbG8PY2Biqq6thsVhQUlKS9n7h4ZGgVHF7jxdE65/+6Z/Q3t6Orq4uAMAtt9wCm82WFow/NjaGj3zkI/RFrqOjA9ddd13Ox5tvMWEYm7KFXIu62FDdnYrhxFzozrBEIpEWdM3M6BkaGlr1vQRBQKVSpTm+8h1kulGlAqJC3q+L0RmWC43OL2EpmsBSNIFylRRlyuVjQCYhUFsqh2MqCF8oCrVMjPGFMCxVmZ/GrAT9pFIpbrrpJlx//fV4+OGH8eCDD8Lv9yMYDOK73/0ufvKTn+D666/HwYMH047b83TAtlIS5+YJTC8tr9OGMjn2NmhRU1lKH+9cvwnhk9jst36/Hz09PUmljufOnWN1fTKZTOjo6MCuXbtoAFZVVbWhcWwEhsXiCZx0z8E1k+xGc04volMqxgFLBapL2Afrp0qj0aCjowMLCwsYHBxMypwdGBjA6OgobDYb9Hp93s/rfINh642xvLwce/fuxezsLOx2O93kYnFxEV1dXTQUq66uzui6ZwPsuKJcgjulUokdO3bQ5ZMrQTEqwH0lKCaUSeZGzGOhpKQEoVCIhnoTExOYmJhAVVXVqlBMkCBK/NjjBYEgCDz22GO45JJLEAqFMDY2hgsuuACf/exncfHFF0MikeDkyZP44Q9/SIdzKpVKPProo3mfuORDWq2WzuXiapkkJWb5XCGrkLpJxuPxtDLHQCDACoqIxeKkUHuNRgO1Ws35ySgbMSf9iUSCszcqmZDgDMu96JGQSb8y89nrQAsKdPv9fhw8eBDbt2/Hk08+iSNHjiAWi8Hn8+HHP/4xnn32Wdxwww34u7/7OzofUqPRwKDV4jxGnl8hHO9c01r75+zsLO30ouCXw+FYd58mCALNzc1Jbq+2trakB26ZGO9687TjzlkMz4UQWIphfCEM/1IUErEIlWoZaksVePncNK7YrkelZmtOwpKSEuzZswdvvPFGUvB/IBDAW2+9hZKSEthsNuh0urzNLfkAwzZTglhRUYF9+/ZhZmYGdrsdc3NzAJbXfWdnJ7RaLaxWa8aAJJ+cYfkYq0KhSIJiw8PDdNMJqkyPKp9kQjE+giVqzGKxmDf3jEw3W3l5Ofbt2wev1wuXy0U7eaempjA1NYWKigqYTCbodLp8DVcQh8WPo1QQAGDv3r341a9+hY985CMIhUJYWFjA/fffj/vvvz/ttUqlEr/6A8PnsQAAIABJREFU1a+wd+/ePIw0/xKJRCgtLcXc3BwnyySLHYbxyRkWiUTSujmyyYoBQANZADCbzdDr9VAqlZzaFzMp5jYuZLcUUJzOsFzAsJoSOQLhOORSEXyhKBaWYihRSBCNJzA2v9xEpky1fL6szkJHSWC5TIlqZrFaIwuVSoVPfepT+Id/+Ac8+eSTOHbsGIDlJ9IPPPAAjhw5grvuugvXXHMNZ2/YC03U/jk3N4djx47B4/HQji+Px7Pu+yUSCbZv355U6tja2pq1/BnmeWOta8LY/BKG50JYCMUwMBkASZJQSMWIxhMY8S3n6G3Ta3Da68MV2/UZGRtzTqLVauH3+wEsO+1PnTqF8vJy2Gw2VFRUZOT7NiI+wLCtuK4qKytRUVGBmZkZDA4O0g90/X4/DSStViuqqqq2NJfgY2ZYPmANE4oxA9wTiQQNxSinmEKh4GWZJDVmPt2LMNezVCqFRCKhO+IODw/D5XLRkSSzs7OYnZ1FR0cH6uqykzUqiL/iz14vCABw7bXX4tSpU/jCF76AF198ccV2sZdddhl+8IMf5KQzEVdFEAQNw7hYJpnqklorf6BQxHUYRrk/UsEXm6wYYBlAp5Y5er1eujyytLQUKpUqm4uQd6U6wwpZgjMsOzq/sQyOqSDqyxRwTgcxOLkIqZhALEGCJIEKtRRqmQQt1RpoFVubwlAOT7/fT7swAKCvr2/d91IdHY1GIw4ePAi3241vfOMbeOmllwAA/f39uOGGG2DbvR8N7/4URHoLShQSXGgqw3vaqlFXuvmSts2Kr/tpgiQxE4hgNhhFLEFCKRVDr5VBLRNjeHiYdnv97W9/Q09PT9K2XE1yuRytra2026u9vR07duyAQpG77cLWGWafWgQAeOdCAEhsq9agRClFPEHCMbWI+VAUvlAUIID5UBSlyq2X1zPHtmfPHrp8koJic3NzOHnyJCorK9Hc3IzS0tItfydb8Q2GbWaMBEFAp9OhsrIS09PTsNvtNBRbWFjA6dOnUVpaCqvVummXHh+dYfkcJxXgbjKZ0qCYx+OB1+tFQ0NDElDiC1ziIwxbLedMLBbDaDSioaEBIyMjcDqdCIVCkMvl0Osz87BAUGGJP3u9IFrbt2/H//3f/8Hr9eL48eMYGRkBsBzeeuDAATQ0NOR5hPkXBcOAdwL0uSTmiZvvJYNsxSUYlkgkaOcHE36xGRdBEGlljqvl/RSTUwooLhgmOMOyo5ZqNWx6NQYnF9GsV2PCH0EwEodSKoJOI4NOI4NCKsLBlo2VO1AdXJlur8XFRVbvVSgUSaCb2dGRkl6vx7PPPouXX34Zhw4dovM9B9/6Gwbf+ht07ZfCdOVN8AUN+L/+aXzxchPeZc69q4ZvWliKoW/Mj2A4hvGRITjP9sJx9gwcZ3vhOncG8771wZdarU7K9mpvb8e2bdtyksmYicwwXzCKaIxEMBJDqVKKkrdhl1hEoK5MgflQFPOhKMpUUviCmYFhqTBHr9ejqqoKExMTGBwcpI+dmZkZnDhxAnq9HjabDVqtdsvfvZ741k1yKwCHIAhUVVVBp9NhamoKdrudfsA7Pz+PU6dOoaysDFarFZWVlRuCYnzKDGOW8eVbzK6GVKYYE4oxtwEf4BKVhwbwY7yUmDBspXO5SCRCQ0MDDAYDRkZGQBAERCJRwVZmCNq8+LPXC0pTQ0MDPvjBD+Z7GJwVBcNisRgWFxc5FaBYjDAsX90kY7FYGvRaXFxkdWMvkUjSujmqVCrWE3Dm6/INAHOhYoJhgjMse9/3gfNq8YeeCXSP+KFJ6RZZqZbh/51XA90a2UjMjo7UD9sOrsBy/khlZSV9zG8Emlx66aX4+e+ex42HHsbg8z/F0uwYAGC662VM97yKyvOvwbarPob/fBGoKVHArCtst+hmFI/HMTg4iNffPI0Xj78Be38vHOfOILQYWPe9arUaZrMZF1xwAS688EJ0dHTAbDbn7SZ6rYgGtlCHIJZ/Ut8DLLvmqNcwf29VK42NIAjU1NRAr9djbGwMdrsdodBy19fJyUlMTk6ipqYGNpsNarU6MwNZQcXgDEsVQRA0kJycnITdbqddej6fD2+++SbKy8tpKMZGgjNsa5LL5TQUo4L1qU7alLxeL7RabU4dpxtVarkhX8R23CKRSCiNFLSmBBgmqCDFdIYBy0/QuArDigGSANkP0CdJMukmmIJfbG+C5XJ5WpmjQqHY0lMkLrnhcqFigmGCMyx7kopFuLajFhdbK9Ez6ocvFIVcIoJFp4JNr4bo7TGRJImlpaUkxxfb0maCIKBWq2mn1/z8PN18xmQybSkg/dmeSVR1XIaE6QJMvP5HzB3/NeLBBSARw8zJ5/C3zr/A+P9dj6dqbsZX37Nz099TCIpEIujv70d3dzcdbN/T00NDlrVUUlYB6442XLBnN961bw8qKysRDodBEAR27drF+bBkts6wSrUM86EoShQSLCzFMOUPQ6eRIRJLYHhu+fpWrlqGwxXqrQXoU1oL5ohEIhgMBtTW1mJ4eBgOhwPh8HKe3/j4OCYmJlBXVwer1QqlUpmR8bAdG1fENg9uoyIIAtXV1dDr9ZiYmIDdbkcgsAyJ5+bm8MYbb6CiogI2mw3l5eVrfhZfYBhJkvT65OI45XI5Wlpa6PJJj8dDH9uTk5OYmpqiM8WycTxsVXwM/AdWL5NMFUmSnMuNFsQt8WevFyRoA1oJhnGpfLSQOiuyVSZdUiRJIhgMpjm+mBfHtaRWq9McX9l4IlZMcAgoruUVnGHZl04jw6XNlfR3B4NBTE5MJMEvNudPqqMjBb6ojo7MbciE5ltZzmg8gRPOOUTjCYQTIlRf+H5s/7u/h/fY0xh65WkkoktIRIJwHf1vfO/Es6gcvws3ffxjvHoiv1mFQiH09vbSofZdXV3o6+tjBS/LdDWw7dgJa8tOGKwtEOstqKyqRku1FuVqKdoNJXC5XHC5XDlYksyILQyz6dVwTi+ioUKFc+N+uGeC8MyG6PfrNHJoFRIYypRpTsrNig3MEYlEaGxshMFggNfrhdPpRCQSAUmSGBkZwejoKBoaGmA2mzPqjOEDDMt24Dvl0quursb4+Djsdjtdujo7O4vXX38dlZWVsFqtq0IxvgToM8fJZVhDQbFgMIjJyUn6/5MkiaGhIXi9XtTX18NsNnMKivEVhm3W0SZAMUGp4s9eL0jQBpUKw7ikYiyTJAgCYrEY8Xh8QzAsHo+vmO/FBrYwb4Kp32q1OmdPFwVnWOGqWJxhTOUKhjEz/ZjHPZv1LJFI0vK9VCpVzibA/qUYonESkfjyulLJxJDK5TBf+QkYLnwfBl/4GSbf+DNAJhDxz+FL//pFPPLwf+Huu+/G+973vpyNM9vf4/f70dPTQ7u9urq6cO7cOVbnQZPJhB07d6GisRkVjc1Q1Vqx01yf1DDBOxeCLxRDOJbAYjj9GsqHGx62MEynkaNZr8HAZAA7aksw4Q8jEI5BIiKg08hQoZZBJhbhvIbMhdiTdPklse66FIvFaGpqQn19PTweD1wuF2KxGA0BhoeHYTQaYTKZIJNt3bnGBxhGjTHb4yMIArW1taipqaFLV6lu1zMzM5iZmYFOp4PNZktrcsCXzDC+ONgoMY/rxsZGjIyMIB6PgyRJeL1eDA8PcwqK8RWGsXWGUeLDNUFQfsSfvV6QoA2KWebCtY6SxQjDAKwLw6LR6Ir5XmxEdXdjwq9c3gSvJCFAv3BVLM6wbC8ns6Mj9cM2008mk9HAizruN1vanKnzhFK2fMyLRcufF4klgLebBctLKlB3zT9Dsfu9WDz+K8z0HgMAOBwOfPSjH8WePXtw77334qKLLsrIWHKl2dlZdHd3010du7q64HA41t2GBEGgubkZ7e3tdFfHtrY2lJWVYXYxgu4RP8YXwpgKREAi+bOSP/qdslk+aSOldOcbyyCXiNA35kdjRfINdLlKhneZK+hg/UyICcPYSiKRwGKxoLGxkS4Xi8fjSCQSdKZSU1MTmpqatuSEFGBYugiCQF1dHWpqajA6OgqHw0GXGk9PT2N6ehpVVVWw2Wx0ZAhfIBNzjszlcVJirtdt27bBarXC7XbTxwMTihkMBpjN5rx2GucrDBOcYYIyJf7s9YIEbVBMGObz+fI4knQVY2YYsLzckUgEsVgMoVAoCXr5/X46d2Q9KZXKNMdXanc3LkgI0C9cFYszLJNlkqmw2+/30y6G9UR1dGTCL7lcvqXxrKatLKdSKkZrnRZnRv2QikVYjMQhIqJQSEVYiiYQiMShqqqH5WOHURFwY/wvP8Xx48cBAKdOncI111yDK6+8EocPH0Zra2umFiljmpiYSCpz7OrqgsfjWfd9EokE27dvp7s5dnR0oLW1FRqNZsXXaxUSEARQqpRgKhDBxEIEcokYMjGBhaUY5pdiUEhFkEtEKHnbMcbWacUVbWS8BEFgV30pWmq08MwGEQjHIBYRqClRQK/N/HGwFZgjlUrR3NwMo9GY1G0vHo/D4XBgaGgIJpMJjY2Nm7r55gMMy1fgu0gkQn19Perq6jAyMgKHw0GXgE9NTWFqagrV1dWwWq28gWF8GSclJqQRiUQQi8Vobm5GU1NTGhQbHh7GyMhIXqHYRh1WXBFz3HzYLwRxV/zZ6wUJ2qC4XCZZTJlhVMkTM9MrHo/jxIkT676XGXLNhF98uWAXc5lkoS9vsTjDNgvDwuHwpptZMDP9qGM+25lamYQn799VjTOjfujUUkwFIvCHY/C/zfnFb5e2EQA+fe3l2P/F63D06FHcfffd6OvrAwC88MILOHr0KD70oQ/hzjvvzEveJXWjxnR7dXV1YXx8fN33yuVy7Ny5kwZf7e3t2LFjx4Zyo6RiEao0Mkz6I6hQSzG7GMXA5CJEBJAgAREB1JYsQ6Da0nQYxBUYttY4NgPvZBIRbPqVAWImtRlnWKqobnsmkwkOhwPDw8MgSRLRaBQDAwNwu90wm81obGzcENTiAwzLtTMsVSKRCA0NDTAYDBgeHobT6aTPvxMTE5iYmEgq0ePqegT4C8MkEknS8SOTyWgo5vF44PF46HJiCorV1dXBYrHkFIrx3RkmlUpZn2cB7lwbBHFH/NnrBQnaoJjOMK7BsEItk4zFYmluL7YlTxKJBBqNJgl6pYZc803FXCZZyIAIKB5nGFMrbVOqo2Mq+GLb0ZF5zFPHfb5veLa67+41luEfO2rwv53jqC1VIBiJI5YgIRERUMnEIAC8p60a+5vKQBAErrzyShw8eBBPPfUUvv71r9PQ4Mknn8QzzzyDW265BV/84hdRUVGRleWiytgo4EXBr9nZ2XU/U61WY9euXUmOr+bm5ozAS7NOBV8oCkOpAmqZGHOhKGJxEiqpCJUaGRQSMaq0MlS+3UGRb+cc5ni5dp3LJMxRKBRobW2FyWSC3W7H6OgogOVOomfPnoXb7YbFYoHBYGD1fQIMYy9mkwMKilEOfGbHVrau/HyILwH6lKjxrjZWmUwGm82W5BSjoBjVeCKXUIyvMIx6uF4MzWcEZVf82esFCdqgmB10BBiWWZEkiUgkkpbvxZxcrafy8nKUlpZuOeuHyyompxRQXGWSxQL+UqEfM9ieOu7ZnMPEYvGKzSzyfbOYLX10nwFNFUo80zmOodl3zosN5Ur8Y3s1Lm2uTFq3YrEYH/7wh3Hdddfh0UcfxXe/+134fD6Ew2H84Ac/wC9+8Qt88YtfxC233LKl0OV4PI7R0VE8/fTT6OvrQ1dXF7q7u1nlapaVlSW5vTo6OmA2m7MGLxVSMTrqS9E/Hlj+fkYmFkEAdaUKWKreuVks5DLJXCsTzrBUqVQq7Nq1C2azGXa7nXYZLi0t4cyZM3C5XLBaraitrV3ze7kOwxKJBL3+8g32KYnFYhiNRtTX1yd1/qR0+vRpGsCo1eo8jjRdfHWGrTdWqVS6LhSrra3N+jbhIwwjSTLJgcdGXDvHCuKO+LHXCxK0CXHZGcan8jmSJBEMBtMcX8x6/bWkUqnoG+CZmRk6v62lpYUTnXSyqWJ2hhX68ha6MyyRSCAQCCRBEp/Ph9dff33d91IdHZlur0w2syBJEoNTQZwZ8yMYiUMlFWN7jQbN1WqINvkdmZ4oEwSBS2yVuNhagZH5JSyEYihRSmAoXRv6KxQKfOELX8CNN96IBx54AD/60Y8QDofh8/lw6NAhPPLII7jzzjtxww03rDuGSCSC/v5+dHd3o7OzEydOnMDAwAAr155Op0NHRwcdbN/e3g6j0ZjzGwqVTIw9jaWYD0UxG4winiAhl4ig18ohl6wOQvhw48NlGJZNZ5NGo0FHRwcWFhYwODiIqakpAEAwGER3dzecTidsNhv0ev2K64UPMIwS18bH7Px54sSJpAZFo6OjGBsby0up3lriU4A+SZLrOsNSxYRiHo8HbrebhmKjo6NJTrFsQLHNBtHnU1TmGrDxMXPtXCso/xJgmKCCVSoMI0mSMydBgiDozopccobF43Ha+cEsc2QD7EQiUVqZY2rJUzAYpGEY1yFgJlTMzrBCX95CcoZtpbxZLpcnlTlqtVrI5fKsnWvnglE89eYoxheSy3o6hxdQpZXhg3vqoNPItvQdmdyeBEGgvkwJlK3/WqbKy8txzz334NOf/jS++c1v4oknnkAikcDo6ChuvfVWPPTQQ0kZbKFQCL29vUnB9n19fazAV319PV3qSMGv9dw5uVapUorSdbol8u043Eg3yVyLGls2x1VSUoI9e/Zgbm4Og4ODdFluIBDAW2+9hZKSEthsNuh0ulUfPnBtvQHchmGUJBIJ5HI5DcOkUimi0WiSK8lgMMBiseT9oSWfnGFbKemUSqWwWq0wGo0YGhqC2+2mHzozoZjZbF618chmxCfYSGmzof9cPF8Iyr8EGCaoYMWEYWxKQHItiUSSVxiW2tktEAggGAyyuqGQSqVpJU9snB/F1kWTTw7ATEhwhnFf1HHPLHNk29GRIAhUVVUlwS+ZbGvgaSMKRuL42d+G4QtGMbMYwaQ/gqVYHHLJctg6APz89WHcclEjNPKNTW+4Okmur6/Hf/3Xf+HWW2/F1772NTz//PMAgLNnz9KvmZiYQF1dHatzTE1NDcxmMy677DLs2bMH7e3t0Ol0WRt/vsSF7bneGLjsDKPGlguYU15ejn379mFmZgYDAwO0k39hYQGnTp1CeXk5bDYbnZnHddjEF3jDHOfFF1+MoaEhuFyutFD3+vp6WCyWDTXAyNY4uV7GlwmwJJVKYbFYYDQaaadYKhSjyiczAcX46AzbyJj59pBEUO7F7bOKIEFbkFarhUgkQiKR4FyZJLB8UQ+Hw1mHYVTAdarzg21gqkKhSOvmuFnnR7HBIYIgQBAESJLkFTDZrIoJhnHdGcbM9WP+sD3uqS6uWq0Wg4ODAJbLm3bu3JnNYa+pE645+IJRjC4sYWw+DAKAUirGUiyOobklhGMJ1EOJvzrmcNWOqk1/D5e25+zsLLq7u9HV1QWVSgWDwYCRkZGk16x0LiUIAs3NzUluL7FYTLvJDhw4ALk8vQsjn8VluLSSuDzeXDjDUlVZWYn9+/djamoKg4OD8Pv9AIC5uTmcPHkSlZWVsNlsnIdhXB8fJWYpLAVgGhsb0/KrvF4vhoeH0dDQALPZnHMoxhe4CGQ2f0sikawKxcbGxjA2NpYRKMbHzDDBGSYok+LHXi9I0CYkFotRUlICn8/HuTJJ4J2LeiKRQCKRyMikKZFIIBgMpjm+2AA3giCgVqvTyhwz+aSoGGGYSCRCPB4viuUtJhjGJWcYSZIIhUL0MU/9sMn1E4lESeCLCrZnHqt2ux0kSeYVEpEkidPeecQSCUwshCETi7BNr4ZMIkIknsDA5CIm/RHotXK85Z3Hu7frNp0fli9NTEwklTl2dXXB4/Gwfj9BENi3bx9uv/12XHLJJWk3SD09PUmllYUmLkFMNuJqN8l8josgCOj1elRVVWFiYgKDg4N0Kd/MzAxmZmaSyva4tN4o8QWGUXMS5rmeyq8yGo00FKPymYaGhpKgWK5gOp9gWDZcbEwoRrn3UqFYTU0NLBYLtFrthj+fuj+g5qt80GbcbFy6/xPELQkwTFDBiiAIlJaWwufzcbZMklI8Ht/wRSgWiyV1dgsEAlhcXGR1Y56vzm7MiQyXstKyKSobToBhhaV8OcNWAt5+v5/V/sU87qkflUq17nFPuRvzqVA0gcBSHP5wHAkSqNLIIHs7QF0mFkGvkcHrW4I/HINMLIJ/KbZuxhRTzIlytpeVKkHq6upCZ2cnDb6o7nprSS6XY+fOnWhvb8czzzyD+fl5evuQJInXX38dN910E2699VbcdtttKC0tzeqycElcdlqtJK6OlwuZXARBoKamBtXV1RgdHYXdbqe7VTO7VrN1uuZSfIE3K8EwSjKZDM3NzWhqaoLL5cLQ0BDi8TgSiQQ8Hg+8Xi+MRiNMJlPWS+X5lGmVzbFKJBKYzWY0NjamQbHx8XGMj49vCooxuzJy6Ty0ljbqDOPLcgnKjwQYJqhgRcEw4J0AfS6JeQKPxWJrPt0Ih8NpZY7MCeFakslkaWWOSqUyLxeHYnOGAe9Ak0KHQ0BxwbBcOMOYDS2oYz8QCLD6PmauH/Wz2eOeek8+z6Git4dN7WHxRPJY4lTGEZZfyJXJbyKRgMvlooEXBb+osPC1pFar6WB7qtyxubmZvlYcOXIE8/PzqK6uxs0334wHH3yQvjZ897vfxeOPP44vfelL+NSnPlVwJZHriSvbfy1xFYZxybFGEAQMBgNqa2sxPDwMh8ORBMA6OzthMBhgtVrzHvROiW/OsLXGKJPJsG3btiQoRlUzUP9tNBrR1NSUNSjGF7gI5CbfjAnFvF4vXC4X3SiFgmLV1dWwWq2soBgFlvhSIgkkw7CNVK9w6TwriDviz54vSNAmRMGwaDSKYDC4KQtxtpQKw4B3yp1SyxzZdAQDAJVKleb4ymXA9XoqRhhGLXMxLC9z+xY6DMu0M4zZ0ZH6YdvQQi6X08CLOu4z2dGRCzBMIRWjUiNFgiQhERGYCkSgkYtRopDAH45j0h+BiABKFGKUKiXQyjd205SJdRWPxzE4OJjk9uru7mblTC4rK6OhFwW+zGYzq5s/kUiEL33pS7jpppvwne98B4899hii0ShmZ2fxla98BY888gj+4z/+A9u2bdvyMnJZ+X7glQqvFxcXodFoYDKZVsz04SoM4yLMEYlEaGxshMFgwOuvv550TFHdD/OVaZUq5rWeK+tvJa3lDEuVXC5HS0sLDcW8Xi8SiQTi8TicTic8Hg+amprQ1NSU8RD2YgvQZyuJRAKTyYSGhoY0KDYxMYGJiQlUV1fDYrGgpKRk3TFzfd0yxbZMMt/XBEH8EH/2fEGCNiimMwxY7kzEJRjGnCS53W5EIhEEAgFW0ISZ88OEX1x/alZs3SSB5Gw4ruXWZVqCM4ydqGB7Jvxi6/RUKpVJbi+NRpN14E0ta7636T5jGZ4/M4WGcgXcMyHYp9/pgkkAaKxQQiwSYa+xbEvHGZsJdCQSQX9/P7q7u2n41dPTw2o76nQ6dHR00MH27e3tMBqNWz43VFZW4lvf+hY+85nP4L777sNvfvMbAIDH48HNN98Mm82GG264AR0dHVv6Hj4o2+fZeDyeBq8XFxfT9p35+XmMjo7S7iUmqOEDDOPSuIDl66lKpaJhmEQioYPeqUyrxsZGmM3mvD0IZK4/rs7JmBmQGxmjQqHA9u3bYTKZ4HQ64fV6QZIk4vE4HA4HDcWMRmPGoBifnGH5CKOnoBjlFHM6nayhGJUHl8vxZkIbKZNkzru5dj4TxA3xZ88XJGiDSoVhPp8PBoMhL2OJRqNpZY5UKCwATE1NrfpeiUSSBr3Y5PxwUcXoDEsFRFyfzG1FxQTD2DjDSJJEOBxOKnNk29ExtaEFdeznY8LKlQnk+cYynBkLAFh2ik36wwjHEpBLRNBpZNDIJKgrk2O/qWzDn73WMoZCIfT29iYF2/f19bFy7NbX19OljhT8qq2tzeo6bWpqwk9+8hN8/vOfx913342XXnoJADA4OIivfe1r2LVrF773ve9h3759WRtDPpQtF8BKrk3m9ZvNuIaHhzE6OpoEargKnbhUJrmSmOtt//79GB0dpYPeE4kE3G43vF5v1pxKGxkfF9cfsHXApFAosGPHDhqKDQ8PgyRJxGIx2O32JCi21WsWn2BYPl1sYrEYTU1NSU4xaq5BQTG9Xg+r1UpDMT52kgQ2F6AvSNBq4s+eL0jQJlRW9s5N0fz8fNa/j3nzy4RfbDt4KRSKtDLHTJY75VvFGqBPqdBhGJc6LGZbqcvKLHFmwi+2HR1XamjBlX2FC2WSACAREbhxnwF/6p1E18gCmipU9L8RBNBaq8V72vSQijd/AxoKhXDy5El4vV4afJ07d44VvDeZTElur/b2duh0uk2PZatqb2/Hs88+i5dffhl33303Ojs7AQDd3d04ePAgrrvuOtx1110wm815G2MmlQmnVSwWSzqGqXLl9UQQBFQqVVpziomJCbhcLsRisSRQYzKZkvYpLl3juQrpKDHHJ5fL0dzcDKPRmJRpRTmVhoaGaNdMrm72+VAmmakxKpVKtLa20lBsZGQEJEkiGo1icHAQbrd7y+ufGisfuh1yIex/LSg2OTmJyclJ6PV6WCyWpG3CJxi22QB9Lp7PBOVf/NnzBQnahJjOsEzDMKqrW6rjiw3kIQgCMpmMvkDV19fDZDIV/BOOYneGxePxgt7GIpGI7mxXyDCMOvYpzc/P49ixY6w7Oqbme3Hd6ckVGAYAMokI/9hRg8u2VaJ/PIDFSBwqmRgt1RqUqzZ2bM3OzqK7uxtdXV04ceIEOjs7MTY2tu5yEgSB5ubmJLdXW1tb0sMXLunSSy/FJZdcggcffBA/+tGPMDExAQB45pln8Nxzz+Gmm27CHXfcgaqqqjyPNHNic9MTjUbTwBebMlcWdBt/AAAgAElEQVTKtZlarpx680sQBCwWCxoaGuByueDxeGhQY7fbk8bIpZs0PjnDqPExM60cDgftVIpGoxgYGIDb7YbZbEZDQ0PWIQUfyiQz7bZSqVTYuXMnzGYz7HY7RkdHASBp/VNQbKPfx6dMKy45rZhQbHh4GE6nMw2KlZeX06/n09xUcIYJyqS4f2YRJGgLypQzjJkPwixzZHPDLxaL01wfKpUKMzMz6O3tBbA8kSuGE3oxwrBiW2aRSESXqxSCUkOxVzr2VwPgUqk07YY5X51ctyIuwTBKpUop9pvK13/h/8/ee4c3Ut37/+9Rt5p7k4skSzJbvLbZZSHh3hu4YSkJpADfXwI8FxYSAglhw332klz6lhAISZ6QXEglCQTIBXITNoVACKQXyC7srtvu2mqWe5OLZPUyvz/MGWYkF8lWGVnzeh49Xnst+czMOWfOec/78/m8w+TkJCexfVdXF4aGhtZ8n0QiwdatWzmJ7bdv375sQnQ+IxKJsGfPHmzfvh2vvvoqjhw5ArfbjUgkgu9973v4yU9+gs997nO4/fbbC+7YCKv1T5Knj/1KxbFNUVRSVVa1Wp2SSETGDanIp9frYbPZGPcMu72Tk5Nobm7mxdzA11xmhNXCEBUKBeNUYosy4XAYZ86cweDgIEwmExoaGrIm9BVCmGS2BDulUon29naYTCbY7XbO+e/v72dEsXREyXQS/ecbPib7F4vF0Ov1aGxsTBLF5ubmmN8rpGgN4gwrBLegAP/hx0gVyBl+vx9//vOf8Yc//AEnTpzAmTNn4Ha7QVEUysvLsX37dlxwwQW46aaboNPp8t3cDbMeZ1hicuvFxcWUwiSApUVvYn6vlTa/y1WT3OwUmzAEFFeFRaCwxTB2iBQZ/+up6EheMpmMl5vJdOGjGLYSJD9TV1cXR/yamJhY871SqRQGgwE7d+7E+eefj46ODmzbti3v1ekyiVQqxRVXXIF7770X3/3ud/H444/D5/NhcXERDz30EH7wgx/grrvuwt69ewvuAQ27f87NzSEYDDLjOZU8fexwZfJSqVQZ22wpFAq0tbXBaDTCarVy+uTp06cxNDSE1tZW1NTU5HXe4LuYQ9pHUdSK54mIMsSpRM51MBhEX18fnE4nzGZzVvL3FUKOq2y3UaVSLXv+Q6EQzpw5A6fTyTj11upjhSSG8SFMciWIKMZ2irEfCIyNjSEcDsNsNvPW5Uwg51kqla46fhPXLJthPSaQeQQxrEiYnJzEHXfcgV//+tcrCjuBQABjY2N47bXXcOjQIdx55504ePBg3iryZILVnGHxeBzBYDDJ8ZVKUmRgabGlVqs5wpdcLk+5bcUohrHD6IpFDEsMk9zskOPluxiW6BRZXFxMuaIjGftTU1MAALVavemSkbPhqxgWj8fhdDoZwYuIX7Ozs2u+l2zWiONLp9MhEokwTrD6+vocHEH+0Gg0uPfee3HzzTfjy1/+Mp566inEYjFMTU1h//79ePzxx3HgwAF89KMf5e0GIrFABfsef/r06VXfKxKJksTrXIUrq1QqdHZ24o033uC02efz4cSJEygtLUVraysqKyuz3pblKJScYalcK7Vajc7OTng8HlitVqZYkd/vR3d3NxwOB8xmM2prazN2rHwXE4HcCXbk/Hu9XthsNiZEOxQK4fTp04wo1tjYuOy5Yq8V+SYuLQcfnWGJiEQiNDc3o7GxEb29vYx7DwBmZmYwMzODqqoqmEwmThglnyDOsFTPMR/nMQH+wM+RKpBxhoeH8cILL3B+RlEUWlpaUFdXB7FYDKvVivHxcQBLE83DDz+MkydP4he/+EXBCmJkIheLxRgdHcVjjz2G7u5unDp1Ck6nEz/84Q/XFLBEIlFSVTeVSrXhG10ximEURUEsFiMajRaFMAQUnxuOb2IYTdMc0Zu8UhG9E3MDEfGbjN0//elPvDnObMIHMSwWi8FqtXLcXt3d3fB4PGu+t6ysjJPUvrOzEy0tLZyxOTo6iv7+fgD8E/2ySW1tLR599FHcdtttePDBB3HkyBEAgMPhwN69e7Fr1y4cPnwY//Zv/5bXdpJxnBjqmEqBCnaePrbwle8NEnvzX1payghjCwsLOHbsGCorK9Ha2spxuOeCQskZlk7btFotdu3ahbm5OdhsNrjdbgDA4uIiTp48Ca1WC4vFgqqqqg33i0ITw3LRRo1Gg7PPPhsejwc2m415kBQMBnHq1ClGlNTpdEmVmkl/LAQxjE85w9ZCJBJBq9UyYphUKmXmUyKKVVZWwmw280oUI1VLgfTzheV7zhfgJ/weqQIZh6IovP/978cnPvEJXHLJJUmVrv785z/jtttuw6lTpwAAr7zyCu6//3488sgj+Wjuupifn0dXVxdOnDiB119/nfn5k08+mfS7LpcLra2tzPcSiWTZ/F7ZWCwUm0hCIGJYsQiA7L5TDMJJPsUwmqbh9/s5Ts9Ui1qsJ0SKLKw2+3XNtRgWDodx+vRpjturt7c3JedeVVUVOjs7OVUd9Xr9movgYlgkr3b9LBYLfvzjH2Pfvn144IEH8Le//Q0A8Pbbb+Pyyy/HxRdfjEOHDqGtrS0n7UyszJrqOCY0NjaitLQUGo2Gt3n62Nfj3HPPhdvtxsDAABYXFwEAbrcbb7zxBmpra2GxWHKWy20zOcMSKS8vx+7du+F2u2G1WjE/Pw8A8Hg8ePvtt1FeXg6LxYKKiop1t68QwiTzleRfq9Vi586dWFhYgM1mY5x6wWAQvb29cDgcMJlMqK+vh0gkKihxCXhXDCuUXFbsvrp9+3ZEIhE4HA7mXut2u+F2u3kliq23T/BxLhPgB/yfWQQygkgkwtVXX43Dhw9j27ZtK/7eBRdcgH/84x84//zzGUHsG9/4Bvbv34/a2tpcNTclaJrG6OgoTpw4gZMnTzJfnU5n0u8uJzbV1NRAJBLBYDAw4pdCocjZhFmMzjDg3YVXsQiAxSZ65koMi8fjTGJ7dqhzKueYLXpvxClC8qMVi5MoG8cZCATQ29vLSWzf19eXkuOnsbGRCXUk4lcmcgAVy/VcjnPOOQe/+c1v8Lvf/Q4HDx5EX18fAOC1117D66+/jmuuuQb33XcfmpqaMvL32AI2O2Q5lXtiYoGK4eFhxl3V0tLC+81zogOrpqYG1dXVGB8fh9VqZTakk5OTmJycRENDA8xmM0pKSnLaLr7Bzhm2XiorK1FRUYGZmRlYrVbGYTo3N4ejR4+isrISFotlXbmTCs0Zlg/BrrS0FLt27cL8/DxsNhtmZmYALIWv9vT0wG63J+Wu4quwyIacV77PPQT2fVYmk6Gurg4NDQ0YGxuD3W5fVhQzmUwbEos3CrvNhZbXUoCfFMZoFdgwO3fuxM9+9rOUfre0tBSPPvooLr30UgBLT+lfeuklfPKTn8xmE9PmmWeewd69e1P6XY1GA5PJhD179mDnzp3YvXt33sU9dv6sYhXDaJre9E9rijGBPrC0oYrH4xnZDLCruZLN8uLiYkqiRWJRC41GkzHRu9icYQA2NGa9Xi96eno4oY79/f0pCZhGo5Hj9uro6EhyNm8W4jQN92IYwWgcMrEIFSoppOLcbaopisKll16KPXv24IUXXsCXvvQlDA8Pg6ZpPPfcc3jxxRdxyy23YP/+/WnltSLCl8fjweLiIvM1lesvlUqh1Wo54pdcLuf0xdHR0XUdb74g8xc7ETxFUdDpdKirq8Pw8DDsdjsT0j06OoqxsTE0NzfDZDJlLX3FZnaGsaEoCtXV1aiqqsLk5CSsVit8Ph+Adzf/NTU1sFgs0Gg0abcvE23MFvkWwwhlZWU455xzksJXSU43tvBbCGIYWcsXQluB5V1WIpEIjY2N0Ol0K4piFRUVMJvNeRHF2G1eSwwr5gdbAqkjiGECy3LRRRehpKSEmQDPnDmT5xYls2PHjqSfKZVKdHR04Oyzz0ZnZye2b9+Of/mXf4HX64VIJML999/Pm8UdRVGQSCSIRCJFKYYBS4vGQlk0rJdiTaAPrG8hEolEkoQvskFZC4VCkSR8pVPUIl3Ywt9mZj1i2OzsLLq7uzmhjjabLaW/1draynF77dixI+vVrfhyX3DM+GGf8SEUfXdDLRFRaC4vwVm1aohFmWlnKscrFotx3XXX4aqrrsITTzyBr371q5ifn0coFMJjjz2Gp59+Gvv378enP/3pJLdSPB7nCF9kPKciHMtkMmi1WqjVakYAS7cyK1+u52qwxbBERCIR9Ho9Ghoa4HK54HQ6EY1GQdM0XC4XRkZGYDAYYDQaM+5CKRRnWKbaRlEU6urqUFtbi7GxMdhsNmbtOzU1hampKdTV1cFsNqcUqsoXoWk1cp0zbC1I+Ors7CysVivm5uYAgBMaHwqFeP8AlazlC8UZtlrIYaIo5nA4mAJss7OzOHr0KMrLy2E2m3Na7IPtDEsngT6f+41AfimM0SqQc8RiMUpLS5kbUSpJinPNtm3bcNlll3HEL7PZzFl8RKNRlJWVYX5+HgsLC7y7kYrFYkQikaIQSQjsm1csFuPtYjFTFGuYJLC22BkKhZIS27NLfa+GUqnkJLbXaDQ5t8xvBmdYJBZH96gXYwtBiCgKzeUKbKvXcESXRDEskcnJSY7bq6urC0NDQ2v+bVK5kZ3Yvq2tDSqVKjMHt07yJW72jHrgmgsgGqMx648gEIlBJhahUiWFw+2HJxjFuYYyiHJ8D1MoFNi3bx+uv/56PProo/jOd76DYDCIhYUFHDhwAN/73vewf/9+XHbZZUyur8XFxZTGhVwuZ4SvjQrYhSZKryaGESQSCUwmE5qamuB0OuFyuRCPxxGLxWC32zE0NMT8f6bupcXiDEuEoig0NDSgvr4eIyMjsNvtCIVCAICJiQlMTEygoaEBJpMJSqVyzfZlo42Zgq+CXUVFBc4777yknG7AUlL3f/zjHzCbzaipqeFd34zH48y13wxiGIEtio2Pj8NutzOi2NzcHI4dO8aIYhUVFVm/Luk4wwB+zmEC/KIwRqtAzgkEAky1F2ApvxbfkMvleOWVV1b9HYqioNVqMT8/z0tBj9x8yBPfYpi0i10c2uwsd7yJleCIALaeio5E/OLDAr7QnWHHXPP4RfckAmHuONQqJPjYznpsq18KDWIn0B8eHkZvby9H/JqYmFjzb8nlcrS1tXFCHbdu3QqFQpH5A1sH+Z57Jz0huOYC8IdisM/4EY2/26emvCEYKpecV84ZP0zV+RELy8rK8MADD+Daa6/FI488giNHjiAej2NsbAx33nknvvnNb+L666/H7t27lz2fxLnJfmUy1I89DvN9PVMhFTGMIJPJcNZZZ0Gv18Nut2NkZAQ0TSMSieDMmTMYHBxcthrfeuCzmJML15pIJEJzczMaGhowPDwMh8ORFKra1NSElpaWZecvvrmuliNfCfRTheR0s9vtHEex1+vFiRMnoNVqYTabUV1dzZuxzleBcTXSSUYvEokYsTifoth6nGFAYdwTBPKDIIYJLMsvf/lLzs3yve99bx5bszFIWXLiDOMTZCIn+ZUK5Qa6ERKde5udYhP/2AsOUpUo1YTYYrE4qZrrWhUd80khO8PedM7hp8fHEY3FMeOLwBtcuj5lJVLE4zR+8HcXLm2Mwzdmw+9+9zv09fXB4XDA6/Wu+dkqlYpJbE8cX62trQWT7DYf94nB2aVNhWs2gGichq5UjrISKXzhKEbmg3DNBrC9XoLB2QBaqtIv9rAeEnP1eb1e+Hw+0DSN66+/HhdccAGeffZZHD16FAAwPDyMhx56CFu3bsWnPvUpvOc97+EIX7m8/nzY+KzVhnTEMIJCocD27dthMBhgs9kwPj4O4N1qfE6nExaLBbW1tes+B3wOk8ylUCcWi2EwGNDY2JgUqjo0NISRkRE0NzejpaWFI+ryWUwkFIJwQx6EERQKBeMc93g8OH78OEpLS2E2m1FVVZX3MV9olS8Bbo6zVPsqEcXYTjGSyoKIYmVlZUz4ZKavS7rOMAGBtSiM0SqQU6LRKB566CHm+5qaGlx00UV5bNH6oSiKEcPC4TACgUDOypOnQrGFDALFJw5t5gT67IqO7BeBbNSWQyKRJIU5rqeiYz5hO8MKydnpD8dwpGsCkVgctmk/QpEIQjMjWByz4syYDcEJO/zjNvwgsHautrKyMk5S+87OTrS0tBTFXJYpaJqG2xeBPxRDMBpHuVKCWu1SqKBcKkM4RmN8IYSFQBRiEQVfOAa1PLPLt2g0uqzwtRrNzc245557YLfb8eSTT6K3txcAcPr0aezfvx9XXHEFDh48CL1en9G2rgTfHnatxUaqIqpUKnR0dMBoNMJqtWJ6ehoA4PP5cPLkSWi1WrS2tq6ryASfwyTzITSRUNXm5mYMDg5icHAQsVgM8Xgcg4ODGB4ehsFggMFggFQq5VzXQhDD+NpGgNtO4sSzWq3MOmNhYQFvv/02ysrKYLFYchKml0pbC00MW097SbEPtlOM3DPm5+fx1ltvZUUUS9UZlrgu49tcJsAfCmO0CuSUL3/5y+jp6WG+v++++7KahDqbsMUwYOlpEp/EsESXVLaqQ/GJYhPDNksC/dVcImtBKjqyxa9MVXTMJ5mqsphLwuEwXnj1TfT+8R9wDZyCe6gfgQkH4pHQmu8tLS3Frl27sHPnTkb80uv1BXHca5HPY6CxVEEy9k5opFzC3ZyS70noZCy+cdFnfn6eye/l9XqZcJe1WC5k+f3vfz9uvvlm/OY3v8HBgwcxMDAAAHjppZfw8ssv44YbbsDdd9+N+vr6Dbd7NTZzmORKaLVa7Nq1C7OzsxgYGGByLHk8Hrz11luoqKhAa2trWgUoBGfY8kilUlgsFuj1ejgcDgwNDSXlbzMajYzAwLdzx6YQnGFAstuqpqYG1dXVmJqagtVqxeLiIoCl+YyE6RFRLJ9t5fM5ZZOJhP9sUWxiYgJ2u51zXd56662MOvjYYpjgDBPIBIIYJsDh1VdfxYEDB5jvzz//fNx22215bNHGYYth8/Pz0Ol0eWwNF/YNqBhCBoFkN9xmpxDFv0gkwsntlc5mWSwWM8dpMplQX1+/aUXejVbOzDaBQAC9vb2cxPZ9fX2cxeRKyEtrUNeyBbt3nY1zWxtQVVWF8vJy/Ou//mvBPhxJlVxfSxFFoUQiRlRGQ0QBc/4IqjVySEQU4jQN9+JSviK1TAwKFJSy1DdaZCwnujbZD7yWI91cfRRF4YorrsBll12GZ599Fg899BAmJiYQj8fx1FNP4YUXXsBnP/tZ3HHHHZx7cjYoBCEMyIwYRiCJx6enpznOmdnZWbz55puora2FxWJJ6WGg4AxbHZlMhi1btsBgMCTlbyNCcD7blwp8zxlGWE60oygKtbW1qKmpweTkJGw2GyO+zM3N4ejRo6ioqIDFYkF5eXnO2lpoYZI0TWe0+iVFUaivr0ddXV2SKEYcfJkQxdI9z3ybwwT4B/9Hq0DOOH36NK699lrmJlleXo7//d//5fWNci0oiuI8EV1YWMhja5IpRjGsEMWhjcDnMEmaphEOh5MS26da0VGlUnGqwKnVagwNDcHlcgFAxhNk8w32IivfOf+8Xi96eno4ie37+/tTGmOamgZU6begSn8WKppaMaXQQVtWCUuNCv/eWgkjNc0UVOFbH84U+V4wN5YrYJ32oUotw5Q3jNPji1ArxPCHYwhHaZQqJFDKxajVyiAVL7/JZo/ldKqzUhTFGcckV996+rNEIsGNN96Ij33sY/j2t7+Nb3zjG/B4PAgEAvja176GH/7wh/j85z+PT33qUxkXVfkoSK8GaW+mRBOKohjnzPj4OKxWK1MRfHJyEpOTk2hoaIDZbEZJScma7cpk2zIFH8QwAsnfZjQaYbfbMTo6yvn/SCSC4eFhNDQ05L2tiRSKM2y1dlIUhbq6OtTW1mJ8fBw2m415aDc7O4t//vOfqKyshMViScsZmYm2FoIYlq32skWxRLGSLYqZTKZ1FUBYrzMs3/d4Af7C/9G6iXn22Wdx/fXXZ/xzn3zySdx4441pvWd4eBiXXnop5ubmAABKpRIvvfRSznJ9ZBP2U2i+iWHFJgwBxXfMfAmTTKzoSMSvVCs6Jia2X8klUkzVM/PlDJudnUV3dze6uroY8YtdcWslKIpCa2srao1bECrTI15hRLRcj6baSlSrl0TL8YUQJL4wNIql5YGuVAHKyw0H3ezk4xiNlUoMzwXRUKqAWERhZjGMeX8UYhFQrZZBV6qAmKJgeaeSZCgUYsZXJBLB3//+d4RCa4e6Eurr61FaWpq1IhVKpRJ33nknbrrpJnzta1/DE088gXA4jLm5Odxzzz347ne/i/vuuw8f+9jHMv63C2XTk0lnGBsStlRXV4eRkRHY7Xamb5BqiCTx+3KCpOAMSw+lUokdO3bAaDTCZrNxquv29fXB6XTCbDajvr6eN+ezEMWwlQQbdn9PrHLodrvhdrtRXV0Ns9mcVVdqoYVJZtvJxhYrlxPFjh8/vq6qoEICfYFMI4hhApicnMSePXswPDwMAJDL5fjFL36B888/P88tywyCM4xfFFs1yXyIQ/F4HH6/n+P2Wk9FRyJ6pbNZ5rMTLtMkOsOyweTkJMft1dXVhaGhoTXfJ5FIsHXrVk5i+7a2NqhUKiwEIvjiKzYEIjFYp30Y94QwsxgGjaW8VDKxCFUqKUpkYrQ3aGDt3/xiWL43qTKJCOcaynDMNY86rRy1GjmisTjEIgqxWBQh/yJ0mjgGB8bh9XoRDoeZJ+TxeHxZIUwkEnHcXqOjo/B4PAAAi8WSE/dCZWUlHn74YXz605/Ggw8+iJ/+9KdMNb5bbrkFjz32GA4dOoSLLrpow9cgW+JStsh2e0UiEZqbm9HQ0ACXywWHw8FUQ3S5XBgZGYHBYIDRaOT0BcEZtj7UajU6Ozvx6quvcs6h3+9Hd3c3HA4HzGbzhip9ZopCTKC/lsBEqhzW19djbGwMdrudcUZOT09jenoaNTU1MJvN0Gq1GW9roYVJppqIfqMkimJ2u50J4yZVQdMRxUi7RSLRqn03ca2S7zEnwF/4P1o3MSqVCg0NDVn53FSZnZ3FxRdfzOQ5kEgkeOGFF3DxxRdnvF35gs/OsGIXw4rBGUYqSpFEu5kmFosxFR3Zwlcq4oxUKk0KjyopKdnQokFwhq0PmqYxMjLCcXt1dXVxXAYrIZfL0dbWhs7OTkb82rp1KxQKxbK/X1oixSVbq/DbU9OwVKsw5Q3BE4yCooAqlQw1GhkkYhE+2l4LqVhUdIvIfAl+GrkY5zYqYR2bhXNqAQuLfkSCAajEUdQoAM8qafvEYjFnHC9XnXVycjIHR7E8er0eTzzxBPbt24cDBw7g97//PYCl3GVXXXUVLrjgAhw6dAg7d+5c998oNKE2V+KdWCxGS0sLmpqa4HQ6MTg4mJT4vaWlBc3NzRCLxYIzbAOQCnbA0lpcoVDA7XYDABYXF5lKnxaLJSPJxNcLOY8iEb/n9/W4rUQiERobG6HT6TA6Ogq73c6Ei09NTWFqagq1tbUwm83QaDQZa2uhhUnmWrxji2JTU1Ow2WzLimImkwk1NTUr9kvSbsEVJpAp+D9aNzFXXnklrrzyyrz9fY/Hg0svvZRJpCsSifDss8/iIx/5SN7alA0EZxi/KDYxDACzwdjo8UajUU5S+8XFxZQrOsrlck6Yo0ajgVwuz/hCuJjEsPU6w+LxOJxOJyN4EfFrdnZ2zfeqVCq0t7dzHF+tra1pLwwv3lIFAPjd6Rk0lXPzB0nFFK7sqMNu/dLcmVg1U2Dj0DTNqeZIXuQ+UA6gXApgmcsqkUig0WiYuVQmk+F973sfrze1hPb2dhw5cgR/+tOfcODAAZw4cQIA8Oc//xkXXnghrrrqKtx///0wmUzr/huFcB6Ad+eMXLVXKpWitbUVzc3NcDgcGB4eZhK/9/f3w+VywWQy8Vpw4rNQB3DbJ5PJsHv3brjdblitVk6lz7fffhtlZWWwWCyorKzMeTvJWoTv4XwbCecUiURoampCQ0NDUrgwyaFXV1cHs9mckSrzQphkarALIExPT8NmszGOZY/HgxMnTkCj0cBkMi3roiTOsFTXPHycJwT4hSCGFSk+nw8f/OAH8dZbbwFYmix+9KMf4eMf/3ieW5Z52NVk+CaGFaswRCiWYyYbinQEk3A4nCR8pVrRsaSkJEn4ylUi+2ISw1JxhsViMVitVo7bq7u7m1n8rUZZWRkjehHhq6WlJSMLbYqicMnWapxnKMNbrgWMLgQhoig0V5TgnOZSTsXCzSyG0TSNOX8EM74oglFAIcn8MdI0zYQts8dzKg9AiHtTq9UyY1mhUICiKGYDQ1FUwS34L7zwQvzxj3/EkSNHcOjQIQwODgIAXnzxRfzqV7/CTTfdhLvuugvV1dUpf2YhhUmy+1iu26tQKLBt2zYYDAZYrVaMj48DAILBIPr6+jgbY76dSz4LdcDyVRorKytRUVGBmZkZWK1WZu6fn5/HsWPHcprknVAMYhiBHS48MjICh8PBiGITExOYmJhAfX09TCbThkQxwRmWHuyCH4mimNfrxcmTJ5NEMfZD5XTbzLe5TIA/8H+0CmScYDCID3/4w/j73//O/Ozb3/429u7dm8dWZQ/BGcYv2MdcLGIYWcQtd7w0TSMUCnGEL6/Xm1IybIqioFQqOfm9NBpNXhdixSSGJTrDwuEwTp8+zXF79fb2MnlLVqO6upoRvIj4pdfrs76AKy2R4qJ3XGIrsRnFMJqm0TPmRc+YF55gFH6/H5MTFCrkQEl1FMYNfK7f74fH48Hi4iLzNZW5TiqVckQvtVrNCF+ZgG/XTiQS4eqrr8aHPvQhPPnkk3jkkUcwMzODaDSKJ554As899xz27duH22+/PaVwJr4d32rwIS+XUqlER0cHWlpaMDAwgOnpaQDctcjCwgK0Wi1vNpKFJIax20dRFKqrq1FVVYXJyUlYrVb4fD4A3EPZMiEAACAASURBVCTvFoslK/msEiHzER/PIZtMJvoXi8XQ6/VobGzE8PAwHA4HU0BofHwc4+Pj0Ol0MJlMaaWbIeRbXEoXviSiT0UUU6vVMJvNHHODUElSIFPwf7QKZJRwOIyrr74af/jDH5ifPfroo/j0pz+dx1Zll0QxjKZp3kyMxSiGFaMzjC2GJSa293q9nESmKyESiaBSqTg5gVQqFe+e7BaLGBYIBNDX14c33ngDDocDExMTOHPmTErXsrGxMcnxVVdXx5t5KZHNJobRNI3XzszAPuNHPE5j1h+B1x+B750p+E9OH8qqF7G1bnWXALtQBfuVSr+XyWTQarUc15dMJuNtH8gmMpkMt956K6677jo89thjeOyxx+Dz+bC4uIiHH34YP/jBD3DXXXfhxhtvTGkDxJdzuFo78ukMS0Sj0WDXrl2Ym5vDwMAAU1UcAE6dOoWJiQm0trbm1Lm0EnwXw9ZKTM/OmzQ2NgabzZaU5D2ToXtrtZNv64dE2O3M1DgRi8UwGAwcUYzct8fGxjiimFKpTPlzhTDJjcEWxWZmZmCz2RgDA8m3x74ea7V5M6xVBHJD/nu/QM6IxWK47rrr8PLLLzM/e+ihh/Cf//mfeWxV9hGcYfyiWKpJsjfKbJfXm2++ueZ7STJsdpijUqnk5eI/kc0ohnm9XvT09HBCHfv7+1MSc41GI8ft1dHRgaqq1Z1YfGOziWFdo17YZ/zwBCKwTfsRo2lEIxF4/RQUYkCtpfFnqxu1GhkqVEvhxfF4nClUwQ51TKWPk3x97JdcLs/2YRYcGo0G99xzD26++WZ8+ctfxlNPPYVoNIrp6Wn813/9F771rW/hwIED+OhHP7rsxriQ+iafxDBCeXk5zj33XBw9epQjiM3OzuLNN99ETU0NLBZLRpOOpwvfxbDlwiSXg6IopvLh6OgobDZbUuheQ0ND2oJMKrCT/PNdtCFrxGy0UyKRwGg0oqmpCS6XC4ODg4hEIqBpGqOjoxgbG2OuQUlJyZqfJ4RJZga2izJRFGOnCgmHwymbG/gyxwrwE/70foGsQtM0PvGJT+DnP/8587MHHngAd999dx5blRtKS0tBURRomk4pT08uKUaXFKleRNP0pjlmdkVH8vL5fClXdEwMc9xoRcd8UuhimNvtRnd3NxPq2N3dDZvNtub7KIpCa2srJ9Rxx44dvHBTbJTNJIbFaRo9Yx7E4jRs037QABpKFRDFRXCGvPBGKIx4ItBqQvhTzyC2lcUZ4SuVY1coFEnCV67y9W0Wampq8PWvfx233XYbvvjFL+LIkSMAAIfDgb1792Lnzp04fPgw3ve+93HeJ+QM2zgURXH6q0KhSKrEp9PpYDabMy7SpALfxbC1nGGJkCTvOp0uKXSPCDJNTU1oaWlZsTrwRtrIdzEsFw42iUQCk8kEvV4Pl8sFp9OJaDTKVHgeHR1N6RoIzrDMkiiK2e12pggFsLRW+9vf/gaTyYT6+voV51E+za8C/IR/vV8gK/zf//0fnn76aeZ7hUKBf/7zn7jssstSen97ezu+8pWvZKt5WUUsFkOr1WJhYYF3YZIikQgikQjxeHxTu6QSEYvFiEajBSmGRaPRpDBHv9+fskhQUVGB0tJSRvzKRkXHfFJIYtjk5CTH7dXV1YWhoaE13yeRSLB161a0tLSgpqYGJpMJV1xxBZqbm3PQ6tyzmcSwWV8Ei6EYZn1hxGgaDVo5KhXA4mIYdSVAJA5Me/wYivvglgJlupWPlxSqYL+Ecu+Zw2w248c//jH27duHAwcO4K9//SsA4Pjx47jiiiuwZ88eHD58GG1tbZz3FcJ8ylcxDODO2+eddx6mp6c5lfhIKFlTUxNMJlNOXY58F8PW2z526F6iIDM0NISRkRE0NzejpaVlw+J6uoJdPsllOCcRxZqbmzE4OIjBwUHEYjHONWhqaoLRaFxWFCNreLKu5zt8F8MIbFHMZrPBbrcz/+fz+dDd3Q273b6sKEb+zbc5VoBf8Lf3C2SUxCp0wWAQr776asrvJ08GCxGKolBaWsqIYXxDIpEgHA4LYhgPCYfDnJAor9ebUjJ0YCk5MXF6ud1u5olWa2trXp6o5wo+imHkCS87sX1XVxcmJibWfK9cLkdbWxsn1HHr1q1QKBRwuVzMwiyVMIrNQCGLYdFoFNOz8/AsLGBqLgCvN4y5UBQh1kpIIaYRjFGI0kCUdajsQhXkxecNxFoU0ubgnHPOwUsvvYTXXnsNBw4cQF9fHwDg9ddfx+9//3t8/OMfx3333Zf3vhmPx5kQNPZDt+WqfbLnRr5dC/Z5lEgkTCU+ItKQULKhoSGMjo7CYDDAYDDkRAguJDFsPQLOSoJMPB7H4OAghoeHN3y+C8UZRtM0cz5zOddKpVJYLBbo9XoMDg7C5XIx18DlcmF4eBjNzc0wGo0cIXi9VQ7zRaGIYQSKojgipFKpZPa2RBSz2WyMKCYgkCr87/0CAhmAVOfhW5gkUJximEQiQSgU4o0YRio6JgpfqVZ0VKlUnPxearWas7gIBAKMGMYXgShb5FsMi8fjcDqdjOBFxK/Z2dk136tSqdDe3s5JbN/a2rripiOxmuRmpRCdYcTByX75/X74IoDbTSEeAaIxCosRQPnOUI3TgC9KQSwSoVxbgtpSJXbubEgazwK5h6IoXHLJJbjooovw05/+FA8++CCGh4dB0zSef/55vPjii7j88stx5ZVX5kSYThS+2HmYCLFYjBHC2C+gcJxhpG1isRgtLS1oamqC0+lkBIJYLAa73Y6hoSG0tLSgubk5qwIL38WwTLmu2IKMw+HA0NAQ4vE453wbDAbo9fq056aNCna5It+inUwmQ2trKwwGA5xOJ4aGhpKESSKKyWSyrOY3ywbsYj+Fcn9j75MsFgtkMhlsNhuT49Dv96Onpwd2ux0GgwH19fUFcz0E8kdh9H6BDXPjjTfixhtvzHcz8gJxhgFAKBRCIBBYV9nkbMGuNMinEM5sks9jpmkagUAgKRF2qhUdiehFvqZS0ZG9KOaLAJgtcimGRaNRWK1Wjturp6cnJdG7rKwsqaJjS0tLWgsn9rEWiki0HvguhkUikSThayUHp0oKaGUADUAWAnxxKWbjEpRIRZha8CMSB3TlJairrcE5zaWbIufbZkIsFuPaa6/FlVdeiR/84Af46le/irm5OYTDYRw5cgSvvvoqrrnmGnR0dGTMgZuK8LWS+4vtEqMoipkz+CyGsduWKOhIpVK0trZCr9fDbrczgmQkEkF/fz8GBwdhNpvR0NCQFbGK72JYpoUmmUyGLVu2wGAwwG63Y2RkhDnfVqsVLpeLESlT/Xv5FplShS85uGQyGc466yyOKEaESfK9Xq9n1pCFKCzxuR+wYa/TpVIpKisrUVlZCbfbnSSKnTp1Ck6nE+eff37BXBOB/CD0DoFND1sMA5bcYXwSw9iTdCwWK4pJO7FwQLaOmVSAY+f3WlxcTEmQkkgkSW6v9VZ0LKZCCdkSw8LhME6fPs1xe/X29qYUtlpdXc1JbN/R0QG9Xr/hTajgDMs97NBl8koljJ+iKGY876mV483xCHSUGIOzQXhDUSxEoojGgVIZUK8WQyERYXt9/qrmCayOQqHA7bffjv/4j//AN77xDXz7299GMBiE3+/Hj370I/z2t7/FPffcg+uuuy6t+8t6ha9EyP/H43GOG4wIY3wWdVIJ4ZTL5di2bRsMBgNsNhvGxsYALD1w7Ovrg9PphMViQV1dXUbFvtWEOj6QreuqUCiwfft2GI1G2O12jI6OAliaD8+cOYPBwUGYTKaURMhCEcP41k65XM4Ik06nE8PDw4wo5nA4mN/jY79cDiKGSSQS3gnyK8EW8NiOfSKKzc7OwmazMZEAKpVKyOMpsCabf9ctIABwxLD5+XlexZOzF+rRaFQQw9ZJLBZjRC/211Q27+yKjuSlUCgytkDId+hgLsmECy4QCKC3t5eT2L6vry8l915jY2OS4yvTGzKC4AzLLuzQZfJKJXSZ7eAkL5VKxbleilIP3nDOYUudGsFIDIv+IOYpD8QUIBNT+MD2Gihl+d+AZZLN2EfLyspw8OBB3HLLLdi3bx9+//vfIx6PY2xsDLfffjsee+wxHDx4EB/84AdXdW5tVPhiO7/Ii3we+Tvsz2HPjXzbiLKrcq7VNqVSifb2dhiNRlitVkxNTQFYcmZ0dXUxolhVVVVGjpPPIiKQ/eT0SqUSO3bsgNFohM1mY/JeBoNB9PX1weFwwGw2Q6fTrXi+CyWBPt/EMIJCocDWrVthNBrhcDgYdyTB4/HAZrPBYDDwej3PFsMKhURnWCIVFRU499xz4Xa7maT6AP/mWAF+UTgjQEBgnVAUxQl14VsS/UQxrBjYqFMqEokkub18Pl9K71UoFJwwR41GA5lMltWbpeAMWxmv14uenh5OqGN/f39K58loNHLcXh0dHaiqqtpQ+9NBcIZlhsScfeQVDofXfK9IJEoSslNxcHY2alGvlaNnzIuhuQBE8SgiUkCnBM43KVGnzV2FPIGNo9PpsG/fPnz4wx/Gc889h3/84x8AgP7+flx77bV4z3vegwMHDuC8887LivC11u8SUSwajcLv98PtdnN+l08pEshclo5QotFosHPnTszNzWFgYIAJV/J4PHj77bdRXl6O1tZWlJeXZ6Rt6bYvV+QqH5darUZnZyc8Hg+sViump6cBLD1I6unpgdPphNlsRm1t7arFG/gkMiXCXgPwUbBRKBTYtm0bjEYjBgYGMD4+DmBpLNtsNrhcrnXndcsFhS6GrdZuUrWdj3OEAP8onBEgILAB2M4wvolhxSSUEBJDQ1djvWFRALcCHBG/8mGZLqZrvJpA5Ha70d3dzYQ6kuo/qXxma2srJ9Rxx44dec/nJDjD0oemaQSDwaQxnYrrTywWLyt8rVdEqNXKUfuO6LWwsIC33x4BAJRIhQV0IULTNJqamnD48GGEw2EcPHgQR48eBQC8+eab+MAHPoAPfOADuO+++3DWWWdlVPhajng8Dq/XC4/HA6/Xi4WFBfh8vmVFOBJOmYogl23YzrB0KS8vx7nnnouZmRlYrVYmf+Pc3Bz++c9/oqamBhaLBRrN+kKQC0kMy0X7tFotdu3ahfn5eVitVkZkXVxcxMmTJ6HVapOceXx1XCVSKO0sKSlBS0sLI4YRSF63wcFBJq8bX4SneDzO9NVCCiMstAqYAoWB0JMEigLBGcYvlhOHyCaZ7fhK1R1CKjomhkXx5WZZTGGSZOPodrvR29uLP/7xj4zja2hoaM33SyQSbNu2jeP2amtr41WeP4LgDFsdUqxicXGREQRSLVYhkUiShK+SkpKcCAWbWdjcbLBDHQk0TWP37t146aWX8Nvf/hZf/OIXYbVaAQCvvPIKXn31VVx33XX47//+byZlQqaFL4/Hk1KYvkQiQU1NTVKi/XyKYutxhrGhKArV1dWoqqrCxMQErFYr/H4/AGBqagpTU1PQ6XQwm81pFznguxiWrxDEsrIy7N69G263G1arlaleTZx5ZWVlsFgsqKysLBiRqZASvLPbqtPpAIDJo0eKSzidzrSLHWSLQhWVyNpBLBavOr6We+AgILAShTMCBAQ2AJ+dYcUohrFvYkNDQ3A6nfB6vSkdfyr5gPjGZnaG0TSNkZERTmL7Y8eOMQlMV0Mul6OtrY0T6rht2zbI5YURoiY4w8D5eSAQYEQA8jWVMU2EL61Wm5WcfakgLJb5z1o5vsi//X4/hoaG0NDQgA9+8IO45JJL8Nxzz+GRRx7BxMQE4vE4nn32WfzsZz/DZz7zGezfvx8VFRVptYM8rPF4PCkLX8BSQmetVsv0dXLvisViTJ6xREEs131zI84wNhRFob6+HrW1tRgdHYXNZmNy/o2NjWF8fBxNTU0wmUwpz/l8F8PyHYJYWVmJioqKJGfe/Pw8jh07hsrKSqjVaub3+XgOCYUi2gHctXtJSQksFgtaWlpgt9sZxxgpdkBEscbGxrwdV6GKYaTdqbrZhPu6QCoUzggQENgAgjMsf5CKjuz8XmSBBgAzMzMrvpdsktni10bCovIFe8FTyA6ieDwOp9PJOL2I+JWK8KVSqdDe3s5JbN/a2lpQFv1EitUZRtM0/H5/UqhjKkKvVCqFVquFWq1mvuZa+FqLzSxsEvh0vpdjPcnt1Wo1I0oNDw9jYmICzc3NqK+vx4033ohrrrkG3/3ud/Hoo4/C4/EgGAzi0UcfxY9//GN8/vOfx6233pokymRK+CLiV+Lml31sbEdWMBJD75gXpycWsRCMQiyi0FShxNmNpdBXpuemShfSjkwWkGlqaoJOp8PQ0BAcDgcikQhomsbQ0BBGR0eh1+thNBrXvB/wXQzjQ3J6tjNvcnISNpsNi4uLAJZSFbDz1fFZZCokMWy5/GZqtRodHR0wmUycYgehUAinT5+Gw+GAyWRCY2NjzvtKoYphxBmWbpv5fr8TyC+FMwIEBDYAO2kr38SwzeQaYld0JK/lcqQsh0wmS8rvxbdN8nrJRIXFXBONRmG1WjmJ7Xt6ejhC5kqo1WoYjUZYLBZcfvnl6OzshMlk4uXmZSMUgzMsHo9zKjgODQ3BZrOlJP6xxzRxfmW7WMV64WObioVMVXVsa2vD0NAQxsfHQdM0IpEI7HY7xsbGmGTiX/jCF/DJT34SX/nKV/D9738f4XAYs7OzuPvuu/Gd73wHd955J/bs2QOfz5dx4Ws52An2yWt2MYRf9kzCE4whFqcRiMQgFlGIxGg4p33oaCrFv7dmpjrjcpDjzfR8LRaLYTQa0djYiMHBQQwODiIWiyEWizFV+YxGI/R6/Yrnju9iGJ/aR1EU6urqUFtbi/HxcVitVgQCAc7vDA4OQqVScdxifIHvCfTZrBbSSYodeL1e2Gw2TE5OAlgSxU6dOsWIYg0NDTnrM6kmoucT681zJtzbBdaiMEaAgMAGEZxhmScSiTBOLyJ8kbwgayGVSpmbsU6ng9FoLJjQuPXAd2dYOBzG6dOnOW6v3t7epIXzclRXVzNhjp2dnWhvb8fExAT8fj/EYjEuuOCCHBxBfthszrBEFycZ3+xjW6l4hVwuT8rxtZnHdLYZmg3gZyfH8Xf7HHyhKKrUclyytQofaa9FaUnhuikzJXwtl+OrpKQE27dvh9Fo5Gw6SYU9l8vF5E16+OGHccMNN+BLX/oSfvWrXzEupc997nMwGAy44YYbcPbZZy/bjsRQR41Gs+ENJTmWSCyGX/dOYSEQxdhCEBOeEOLvnB6lTIyWKiVODi+gtESKXc3ZKSCy0ZxhayGVSmGxWNDc3Ay73Y7h4WFGvBwYGIDL5VrRMcMnsWk58h0muRwURUGn06Gurg6jo6M4c+YMIzTNzc3hb3/7GxoaGmAymdLO4ZZNCskZlorTSqPR4Oyzz4bH44HNZsPU1BSApXtqX18fI4rpdLqs9+1CEhoJhSjgCRQGQm8SKAoSc4bxqYx5IYhhoVCIszlOp6IjeerIdn0tLCygu7sbwFJ56s2+aeaTMywQCKC3t5dxe3V1daGvry+lpOaNjY2cxPadnZ2oq6tLGkukzPtmEIhWo5CdYbFYbFnhK5XjUCgUScKXTCbLQatzQ76v5ct9U3j4VRticRo0DcQBLASj+O5fffjp8XF87cqt2FLHPydHItkUvlbbLCqVSrS3t2NhYQFWqxVzc3MA3k0mLhaLmbbddNNNuPDCC/HMM8/g+PHjAJbcMocPH8aOHTtw6623Yvfu3RkVvlbDOuXHQjCGqcUwxhZCkIooVKulCEfjmAtEcWZiEe2NWhx1zqJdp4FUknmRINNhkishl8uxbds2GAwG2Gw2JuE4ccwMDg7CbDajvr6eaQv7nsKXNRwbPoRJrgQJV11YWMDIyAjn/0ZHRzE2NobGxkaYTCYoFIo8tfJdCimBfjriklarxc6dO7GwsACbzcasl8jajIhi9fX1WetDhSgssdu8ljOMfZ/h4zwhwC8KYwQICGwQPodJ8kkMIxUdE4WvVCs6qtXqJOFruUXMZgoNTYV8Ha/X60VPTw8n1LG/vz+lNhiNRk5i+46ODlRVVaX0d8kCjl0hbTOSD2cYTdOYXgwjEImjXCmFVrH2bXwj4cslJSWQyWTMvKnX62EymTZ8HHyDL3307aEFfOm3NsRpGsFIHNF3bEEUAKmYgtsXxv4XT+HZvZ1pf3Y2RT628EXGwkaFL7FYzAhg6bSD5KX0eDyIRqNMGCIhcf4zGo144IEHMDAwgCeffBKnT58GAPT09OD222/H1VdfjQMHDnDWEdmif3IRoGlMekIQiyi06TSQiCjQAMYXghidD2LaG4aEojA064exSpXRJPtswTJXYg4RL41GI6xWK+OY8fv96O7uhtPpRGtrK6qqqgrKGcbH9gHcNur1eoyOjiIajTK59kZHR9Hc3IyWlpa8PuQoVGdYqm0tLS3Frl27MD8/D5vNxuTP9fv96Onp4Yhimb4/FWLOMHabhQT6ApmkMEaAgMAGYTvDUsl5lEvyJZQslwQ71epvYrGYEb3I13QqOhazGJYt0cTtdqO7u5sJdezu7obNZlvzfRRFobW1lXF6dXR0YMeOHZzQ4nRh94N4PM77hex6yaUzLE7T+OOAG789NY2xhXddme06LT7SXss4haLR6LLCVyoolcokx5dEIsHMzAzj5OTrBi+T5NMZ9qM3lkLGAuEYYjQgpgCRiEIsTiMcowHEMe+P4MWuiby1ka/CVzo5vtjU1tbCYrHg4osvxmc+8xkcOXIEBw8ehMPhAAD8/Oc/xy9/+Ut84hOfwF133YXa2tq0Pj8dFkMxRGkaoeiS2E2cXxRNo1Ilw8h8EL5QFDQtgzcYQTwez2jlyXw6KjQaDXbu3In5+XkMDAwwhVm8Xi/efvttlJeXM+4Qvs5DfAyTTITdRoPBALPZzMnhFo/HMTg4iOHhYRgMBhgMhrwUuikkMWwjYYdlZWU455xzMDc3B5vNxhQ48Pl86O7uhsPhYHIeZmpMFqIYlq6bTRDCBFKlMEaAgMAGkUgk0Gq18Hg8RRkmSTYN7E1yYi6g1dqXmNh+oxUd2QubfLvhckGmwyQnJyc5bq+uri4MDQ2t+T6JRIJt27Zx3F5tbW1QqVQbbhObYhHDcuUMi9M0vvtXF/7umANNA4uhKGJxGjKJCCeGZvH24Aw+bJbBrAylnLdPpVJxRC+1Wr3iApMvc2U24cMxTnlDODG8gGicRowGJCIKCsm7Cdb9kTgiMRoyCfDbvumctImvwhe5j6WT3J4dpu9yuZh7z+TkJNxuNwwGA5qbm3H11VfjQx/6EJ588kk8/PDDmJ6eRjQaxfe//3385Cc/wR133IHPfe5z0Gg0Kbc/VeQSEcQUBbGIgi8cQ5ymIaIogKLgjywJXzKJCDQACfXutSBrmo2KYuzzmS/BqaysDLt374bb7cbAwADzAJOEuwL8GK/LwecwSUKiyERyuOn1ejgcDgwNDSEejyMWi8Fut8PlcjGFDXIpnBRSXqtMhHSWl5dj9+7dmJ2d5YR3Ly4u4uTJk1Cr1RkTxQpRDFuPMwzg71whwB8KYwQICGwQiqJQWlrKiGF8ItPCENsZQr6mGhIll8s5YY4kCXambybF7AxL53hpmsbIyAgnsX1XVxdTons15HI52traOKGO27Zty0l+tkQxbLOSK2fY707P4G/2WfiCEUx6w0u5pJb+KKQioFwO/LQ3iBssMVQkXF6KopYVvtJZsLPHf77zaeWCfB3jhGepaidJmC4VvytqUBQFiYhCOEYjHqcx6Q2t9DHrZrMIX6RyKRHAEjd7lZWVaGpqwuDgILPxj0ajsNlsGB4eZpJY33rrrbjuuuvwP//zP/jmN78Jn88Hn8+Hhx56CE888QTuvvtu3HTTTRkNJTNWlmBsIYgqlQyT3hCsUz7UaOQIRWMYmw+CooBqjQwSsQjNFSWcZPfLCWLp3rv5kpOLoihUVVWhsrISk5OTGBgY4Aj9sVgMXV1dsFgsvEr6Xghhkis5rmQyGbZs2QKDwcBU96Rpmqks7XK50NLSgqamppw84CoWZ1giFRUVOPfccxlRbH5+HsC7ophGo4HFYkF1dfW6x+h6haV8kqozrBjWKAKZRRDDBIoGrVYLgH9hkhRFQSKRIBqNpi0MkYqObLdXqs6QkpISjtsrl0mwi00MI5tBdmnoROLxOJxOJyN4EfGLhIqshkqlQnt7OyexfWtra94WOcUihmXLGRYOh5kxveDx4CdvLGAhEMdUEKBpQCUFpBQQiAGhGLAQBirkwEm3CB85iyt8qVSqDW8kik0Myxcq2Tshce98H4/TgIjVx9459xRFQSnb2DXNtPBFktpvRPjyer3M10wJXytB3DBNTU2w2+1JydtJ5cmqqirce++9uPnmm/HII4/ghz/8IaLRKKanp7F//348/vjjOHDgAK666qqMiB9tDVocc82jsbwEgUgcC4EIFgLvhAZSFIyVSpRIJWjTaaGUS5OuYaIoRtqU6qaZD84wNhRFoa6uDjU1NRgbG0Nvby/zf+Pj45iYmOBV0nf2deCrI2Ut95pCoWAKG9jtdoyOjgJYui+dOXMGg4ODMJlMaGhoyGofKaQE+pl2WlEUhcrKSlRUVMDtdsNqtTIP8r1eL44fPw6tVsvMUen2tc3uDGNH//B1HArwh8IYAQICG4Q4w4ClMsbBYJBXTxPFYjGi0eiKzjCapjkbZPIKhVJzB7CdIUT8yucNsNjEMACMGBaLxZgnrWy3V09PT0pCbVlZWVJFR5PJxIuNC6FYxLBMOMPYlVqXG9dTAWA+KEYwtiSEqaWARgqAAlQyEWaCQCQOKJQKzEtLsHt320YPK4liEMP4sGA2VCpRrZFjyhsCFcVSjjAqDjFFIRqnEY0DYhEFEQWcZyiDK8XPZQtfBJJYnsB34UupVDKiV7rC12ooFAps374der0eVquVSWLt8/lw8uRJ/0Wg/wAAIABJREFUlJWVwWKxoLa2Fl//+tfx2c9+FocOHcLPf/5zAIDD4cDevXvxzW9+E1/84hdx4YUXbqg9JVIxPrC9Fi/1TmJLnRreYBTeUBQSCihXySAVi1CnleNfzRXM9WALYiSHGMAtYJKqOMNXZ5NIJEJjYyPOnDnDWSexk77r9Xq0tLTk1elC1jN8OneJsNu4Wp9QKpXYsWMHjEYjbDYb40gPBoPo6+tjclnpdLqszJ+knenOM/kgW8Id2yE5MzMDq9XKrBNJddzS0lJYLBZUVlamfB0KUQwrxAqYAoWB0JsEigK2GAYs3UT4JIZJJBKEQiGmok8gEEhKgs2+EayESCRKConKhDMk05DNFBGHNjPhcBinT5/G66+/jv7+fjidTrhcLgQCgTXfW11dzYQ5dnZ2or29HXq9nhcb99UoFjEsHWcYEbTZYV+pVGoNxQBQAE2JQFGApkQKtUK6dI4pIEiFMe+PIA4RfOHsjKViEMPY5OsYxSIK/9/Z9fj2XwahkIoQjMQRitIA3qnuRwEKydLY+thOHX66zGes5vhiH9fo6Ch0Ot2K94ZMCF8+ny8puX0q80G2hK/VUKvVOPvsszE7Owubzca4MObn53Hs2DHU1NTAbDbDZDLh6aefxh133IH77rsPf/nLXwAAx48fx+WXX46LL74Yhw8fRnt7+7rbYqxS4mM7dfjn4BycM35o3qkYWyIVob1Bi3P0ZZCK370W7JBIct0T86LGYrGURLF8JtBPBdI+lUqFuro6TtJ3p9OJ4eFhtLS0QK/X52XdQ/o339ZcbNJto1qtRmdnJzweD6xWK6anl/IVBgIBpuohEYwz2WfI2rAQhA/SVhIWnmkoikJ1dTWqqqowPT0Nq9UKr9cLAFhYWMBbb73FCPeVlZVrfl6hi2GpCN58nL8E+ElhjAABgQzAFsPm5+dRV1eXx9YsEY/H4ff7mcVJPB7HX/7yl5QEInZFR/JSKpW8f4JGEIvFTK6WzUIgEEBvby8nsX1fX19KQmZjY2OS46uurq4gb+jFIoat5AyjaRrBYJBxwZCvqfQDsVjMGdPNtAy/m3VBFIzCFw0hFKegfWcjTNM0fOGlTa5UTKFcmR1HRDGIYXwZZx/fVY+TIx78wzELlVyMSGxJ2BKJlnKGUQBu/Vc92nTvJm8nQiv5Nxu240uhUDAbKJfLhfHxcej1etTW1jKiVz6FLxLymM/NWUVFBXbv3o2pqSnYbDYm7cDU1BSmp6fR0NCAlpYW7Nq1Cy+//DJee+013H///Uz43muvvYbXX38dH//4x/HAAw9Ar9evqx21Wjk+3F4HXzgKTyAKiYhChUoGsWjlfrqaKEb6QGL1yUT46gwjsIUci8WC5uZmJuk7yW81MDAAl8sFk8mExsbGnB4HO0ySr7CFm3TQarXYtWsX5ufnYbVaOVUPT548uaGwvUy2Mx+QdWy25y6KolBTU4Pq6mpMTk7CZrNhcXERwLvCfXl5OSwWCyoqKtZsL5nzC4H1Cnh8ubcL8BdBDBMoCiiKQllZGfN9PpLox2Ix+Hw+Tn6v5TYMywlhUqk0SfgqKSkp6EleLBYjEokUrDPM4/Ggp6cHJ0+eRHd3N7q6utDf35/S8RiNRk5i+46ODlRVVeWg1bmhWMQw9vgLhUKw2WzM2E5F+JJIJFCr1dBqtczXxHFN0zSay6fgmg1AKl7KHxSNxyGXiLEYiiISjUNbIoVYROE9hrJV/lpmjnOzimFs8nmMUrEID3/kLDx7dBQ/OzGOOX8EJIuYobIEe89twL9byhEOh5ME2LVCHU0mE8RiMRPuFA6HYbVaMT4+jtbW1pQcBZtJ+FoJiqJQW1uL6upqjI6OwuFwMOd7ZGQEY2Nj0Ov1MBgMuOSSS7Bnzx48//zzOHz4MJN0/Pnnn8eLL76IW265BV/4whdSOrfLoZJJoJKld47YYhfbKUjm5dUqT/LZGcYO9SXHIpfLsXXrVhgMBthsNia/Fcn95nQ6YbFYUF9fn5PjKbQwyfXArvbJTvBOwvbScSil0s5CEsNy1VaSS6+2thYTExOw2Wzw+XwAlqquHj16FJWVlTCbzSgvL096P1mf8HH+XYl0nWECAqlSOKNAQGCDsJ1h2RbD2BUdycvv96e0yZLJZMzmOJsVHfMNWTQUghjmdrsZwYvk+bLb7Wu+j6IotLa2oqOjA5WVldDpdDAajfjQhz606a4nm80qhpEQZrbbixAMBjE0NLTieyUSCTOeyfhORdCmKAof7ajF//xpELoyBSY8IfhCMfhCMYCioFFIUK2WQSkT4+Kt1Rk71sQ2EIpBDMs3Ygq44VwdrtlZi1PjXiyGYqhSSWGqKmFcP4n9Zrl+lBjqKJfLmRxA7PxYi4uLOH78OCorK2GxWKDRLLnOMiF8sRPcF9LGC1iax5qamlBfXw+XywWXy8UJyRsZGUFLSwsaGxtx3XXX4aqrrsITTzyBr3zlK5idnUU4HMbjjz+Op59+Gvv378dnP/vZnKZnINU82fnEyM9Xqj7JZ2fYam0rKSnh9O3JyUkAS27t7u5uRhTbSAW+dNrIZwEnUyITSfCemMuKOJTIfMJ+EJ0qNE0XjBjGbmuu5ziKolBfX4+6ujqMj49z3KxutxtutxtVVVUwm82c61BIIaiEVJ1hy7mjBQRWo3BGgYDABsmWM4wktmeLX6nkgwLeregYCASY8JWOjg5mM7KZIQuc5fKb5JPJyUlOYvuurq5VRQ6CRCLBtm3bOG6vtrY2qFQqAMCJEycwNzcHYGkhUkiLkHTZDGIYTdPw+/1Jye1TEW+lUmmSoK1QKNbdx88zlOP/nR3Cz06Mo6lcgVA0jlichkwsgkRMoUQqxv73t2QtTJLNZhXD8jX/rJbjSwSgrV6dUtvSyfHFzo81MDDA3HvI5kmpVEIsFsPn861L+NJoNJvqyb1EIoHJZEJTUxMcDgdGRkZA0zQikQj6+/sxNDQEs9mM2tpa7Nu3DzfccAO+/vWv41vf+hYjnh88eBDf+973cO+99+L666/P6fzP7gukv8VisWUFMfb15ss9mZCKUEf6dmIoH6nAV1ZWhtbW1lVDyNbLcs41vkGuP5AZkYmdyyoxbI/MJ9XV1bBYLExF93y0M5uw25qvdR1FUdDpdBxRjOxDZmZmMDMzg+rqapjNZmi12pyFdWYStpuNb3OTQGFTOKNAIOcsLCxg69atGB8fZ362d+9ePPXUU/lr1AbYqDOMpmlO5TcifqVS0ZGiKCiVSk6Yo1qtZm5EJLwKwKbKobUaiRUlc31TJiEvbLdXV1cXE0K0GnK5HG1tbZxQx23btkEul6/4HvbxFqpAlCrsjUAhOP9I7r5E4Sud6ySRSLB161ZotVrIZLKML9au7KjD1lo1Xjk1ja5RDyKxODRyCf7FVI4PbKtBlVqW0b/HpticYdk6xtWEL0I6VR3ZpeMVCkVa7fD5fAgEAigtLUU0GuU8wCHOguUg9zF2uONmEr5WQyaTYcuWLWhubobNZuO4j3p6euByuZhcPYcOHcKtt96KL33pS3j66acRj8cxPj6O22+/HY899hgOHTqEK664ImebOvJ3iADG7oNsUYw9X/Ntw5mOa42E8s3MzGBgYIDjWjp69Oi6BJq1YJ87PothhExXPSRhe+Pj47BarcycMj09jenpadTV1cFsNkOtVq/5eexzyXfBJluVJNeDSCRCQ0MD6uvrMTY2BrvdnnQdqqur8y7erQdynlO93/Bt/hLgL4UzCgRyzhe+8AWOEFbopOMMI+FQ7I1xqnmARCIR4wghX9eq6JgoDBUD7JtwtsWweDwOh8PBcXt1dXVhdnZ2zfeqVCq0t7dzEtu3tramvQEsNIFoI/DZGUaEgMSxnUo75XI5R9DWaDQ4duwYwuEwxGIxqquzE6ZI2FKnxpY69VKi6DjNqSiXTYpBDMv0wjnTwlemktunK/RSFIWqqio0NTVBq9UWjfC1GkqlEu3t7VhYWIDVamUcvyRnEgkP0+l0+Na3voV9+/bh4MGD+PWvfw0A6O/vxzXXXIP3vOc9ePDBB/He9743Z21nJ9hn90/SD9kP9/gm6KwnhLOqqgqVlZWYnJyE1Wpl8ioRYaC+vh5ms5lxcGeqffkWRVaCvfbIRhvZDqXR0VHY7XYEg0EAwMTEBCYmJtDQ0ACTybRqyHC225lJ+CjciUQiNDY2QqfTJV0HUg0UKBzBiDhxgfTPcaEco0D+4MeoFeAdf/3rX/HEE0/kuxkZhZ1Eki2GhUIh9PX1ob6+nrM5TrWiI9vptd6KjuzJvRidYdFodFVX1Ua466678MwzzzDOu9UoKytLquhoMpkysikoJsGTL2JYYtEKMrZTEXQUCkWS8CWTJbuv2EmpcwWpHpnLv0fYrGIYm3SPkY/Cl9frZb6mGupIHtwsLi5iamqKOY7p6Wn4fL6c5FwqJEpLS7Fr1y4mkXhieFh9fT1MJhO2bNmC559/Hm+88Qbuu+8+vPnmmwCAN998E3v27MHll1+OQ4cOYevWrTlrO0VRCIfD8Hg8WFhYYPoKqUpKIOGUfLjm681nRlxLNTU1GBsbg81mY4SB8fFxTExMoLGxESaTKS2HZabal0ty5V4j+fZ0Oh2Gh4eZIhQAMDo6irGxsVXPeSGJYXxyhiVCrkNDQwNGRkZgt9s5grfb7cbJkydTduzlC3YoajoPZPgwbwnwH0EME0giFArhU5/6FGiaRnV1Nerr69Hd3Z3vZm0Y4gxrbGyEzWbDDTfcgNOnT8PhcCASieCZZ55ZNVeXVCpNCnPMVEXHYhfDsikOiUSiZYWw6upqJsyxs7MT7e3t0Ov1Wbt5FmuYZK6ONRaLJRWt8Pl8KQkbJHcf+5WuFX8zX9NiEMNSHfd8Er7I341Gozh69GjKwldJSQkT5rhSqKPf7+eEAvr9fnR1dTE5l9hpB4oZ4pyrrKzE+Pg4x4FBhJbm5mYYjUa8973vxeuvv46XX34ZDzzwAM6cOQMA+M1vfoNXXnkF119/Pe699140NDRkvJ1E+GK/1krxoFarOc6xVPp1Ntmo2ETcMvX19RgeHobdbkckEgFN0xgeHsbo6Cj0ej2MRuOyDz7WopjDJFdCLBbDYDCgsbERQ0ND+P/Ze/f4xuo6//91cmsuTdM26S1Jc09aZhg67TAwi3x3ARV/uquPB6uiIojigoICLqCizDAwg6AowioIPmAXEVkU3Z+P78ou7i6IKMsww9yYe5M09zRtek2aXnL//lE/h5NL27TN5aQ9z8ejj5lpM83nnHzO5/L6vN+vt9vtLrjnOp0OJpMp557XqxjGlsiwfHg8HnQ6HTQaDex2O7xeL/0zErFXzijJcrOaSpIbdY3CUTnY+dRy1JQHHngAg4ODAIBHHnkE//zP/1zjFq2N6elpHD9+HMeOHcPRo0fp09hAIIBAIFDwepfLhb6+PgDF06Eq4QNE4MSwyolhfX190Gq1BRFfnZ2dVV3Yc2mS5WM91Vrzvfvkcvm6FrC1iAyrNptBDCsGm4QvEuHITHckkRbpdHrJ1P9ShK9iMFMB7XY7pqenAbznudTR0QGLxVLV6ohshqSHdXR0wO/3w+12I5VKIZvNwuv1IhgMwmAwQKfT4W//9m/xoQ99CC+88AL279+PUCiETCaD5557Dr/61a9wyy234M4771xTFT5gceOYL3wRgW45BAIBXfijtbUVLS0tyGQyS1aerDblirxiCjQejwdutzunSqjf74fRaIRer1/V3MClSS6NQCCAyWRCd3c3PB4PPB4Pfc89Hg/8fj8MBgMMBgOEQiGro63yYWOa5FIQOwcihvF4PLrfhkIhhEIhqNVq1o3taxEcay3ec9QP7H5qOarOqVOn8L3vfQ8AcMUVV+C6666rCzEsGo3irbfewtGjR2nxy+Vyrfj/KIqCRqNBb28vrFYrtm/fXhND4M2UQkeo1jVfffXV+NSnPlWx318qXGTY2kilUgXG9ssZfDORyWRLFq0oF2SxtZFFos0ghjH7aTqdRiKRYJXwVa6Ir9WiUChw4YUXYmxsDA6Hg372RkdHEQ6H0d3dDZPJxHmJ/QUitGg0Gng8Hvh8PmQyGaRSKTidTvj9fpjNZqjValx//fX45Cc/iZ/85Cf44Q9/iEgkgoWFBfzwhz/Es88+i69//ev40pe+tGzqXiqVKhC+Sqlmzefzc/pKU1NTTqQ7EYBJ5UnSj2spipW70qVAIIDFYoFOp8PQ0BB8Pt+iH2MqBYfDAa/XS1cRLeUZrrc0yVqITEKhEFarFXq9Hi6Xi34+0uk0hoaG4PV6YTQac4QYtgtM9STcAbntNZvNoCiKjtgDgOHhYYRCIWg0GphMJlaIYszIMLb3B476g+tRHDSZTAY33ngjkskkGhoa8OSTT9a6SSVz7NgxfPjDH172NQKBAKlUCq2trdiyZQu+9rWv4aKLLlrz6Ws52YyRYfkG+pWCLSdDXGTYyiSTyQLhq5SNHUVRRYWvaixMybWSjSNb+ls52WhiWLGIL+a4u7CwgHg8vqKPYTmEr7m5uRwhYzXCF3kvoVCIyy67rGKCFEVRaG9vh0qlos2YSaqTz+fD8PAwjEYjuru762IzWA3Ipr+7uxtDQ0MYHh4GsGhDcebMGbrypEqlwl133YUvfOEL+P73v4+f/vSnSCQSmJqawre//W08+eST2LNnDz796U8jm83miKTRaLSkgwHibcoUvqRS6bJjFUVR4PP5BaIYMxK22qJYpcQmkUiE8847DwaDAU6nE8FgEMBiaunZs2fh8XhgtVrR1dW17HXWQ5okW9pIKrMaDAa4XC74/f4cIZK5PmT7mFIPaZJMmO0ViUTo7u6GTqeD1+uFx+Ohx/ZAIIBgMAitVguTyQSJRFKzNq8mTRJ4b82yEddjHOWH/U8tR9V44okn6FTCb33rW7DZbDVuUels3749598SiQR9fX3o7+/HwMAA+vv70dvbi66uLkxOTiIcDuMDH/gAaxYsm1EM22zRcJvpekuJgkskEgXCVympPBRF0cUqyNdK1VorSb5QtBEXX/UshpWa6igQCOgqe/Pz8zhy5Ai0Wi00Gg34fH7Nha9iEV9kU8Dj8aoSmUXMmLu6uuDxeOD1eumoJ4fDAb/fD4vFUvUUdDYjFouxdetW6PV6OBwOjI+PAwBmZ2dx/PhxNDc3w2q1QqlU4rvf/S5uueUW7N+/Hy+++CLtq3TTTTfhoYcewrXXXouBgYFl7y2PxysQvmQy2Zo/D2ZEGPMZWipKrJKfe6UjryQSCbZt2waj0QiHw0H75c3Pz+PEiRNwuVyw2WxLFpHg0iRXj1gsxpYtW2AwGDA0NEQLkcx1cCQSodN12Ug9pUkCxaOsBAIBzGZzjihG0rz9fj8CgQAdBbyeIhNrhdkfuChkjnLD/qeWoyr4/X7cc889AACbzYa77767xi1aHQqFAvv27YPRaMTAwABsNlvBpJROp6FQKDAzM7Okv0qt2Oxi2Ga4ZrZUWKwG+dcaj8cLhK+VzJvJ7ykmfLFpUcxsS70JRaVSL2LYejy+eDweLBYLXC4X7WXj8/kwMjICi8UCtVpd8kY/m83SVR3XI3wRUYMs/kORBfyvbxqz8TBaZULU6qMg6WVarTYn6mlhYQGnTp2Cz+eD1WpFa2trbRrIQhobG9Hf34+pqSk4HA56DTI9PY133nkHLS0taG5uRjwexw033ICdO3fi+eefx9GjRwEAbrcb+/fvx/nnn4/rr78eVquVHh/zha9yj4/kmSHP1nKiWCUrTzKf5UrOAeSzIn55ExMTAIBYLIajR4/SRSTy+3c9pEmyVbCTSqW0EOl0OjEyMkL/LBQKYXp6etXjcLWo5zTJ/H2SUCiExWKBXq/P8XYjUcBMUaxSFeCLUWqaJBmf2NZHONgNJ4ZxAABuueUWuuLek08+WdVBrlzs2bNnxdc0NTUBWPQYYxObKWqIsNmueTNcbzabRSKRoM22gcVKRWSzvBwkooH5JZVKWbupIDAXXZlMpi4Ww6uFjWJYJcztu7u70dnZCY/Hg0AgQPfnM2fOwO/3F90AV0r4YhKZT+Inf/LgbfdUzvcn5xIrvkclIVFPOp0ODoeDFg2i0SiOHDkClUoFq9WKxsbGmraTTSgUCvT09CAYDGJkZISeC6ampjA19d7nazQace+99+LkyZP4+c9/DofDAWDR1/XrX/86PvrRj2Lfvn1VjeDPF8UymQxdaRLI3YhWQhSrttikUCiwc+dOTExMwG635wiYhw4dgkqlgs1mo9eVbElBXA62RYbl09jYiO3bt+PMmTPw+Xz09+fn53Hy5Em4XC5YrVZ0dHSwRvCo5zTJpdrL9HYjUcDkkMjr9cLv99NVcquxX1xrZBhb+ggHu2H/U8tRcX71q1/h5ZdfBgBcd911uOKKK2rcospAURRdDn5+fh7xeLymOfBMSBoO8UzYDGwGcYjJRjPQz2azWFhYQCwWQzQapf9knuABxa+VeNgQb69SPGzYymaLDKsFRPgifwKVq+rI5/PR29uL7u5u2O12Oq1tZmYGR44cQUtLC5RKJeLx+JqEL2YKWymL+tlECrv//Rx8U/OIJzOYiaeQzmQh5FMgd2BmIYVMNgtejT4nuVyOgYEBnPGE8OrxIYzPLEBAAW3RcYyMTUCvVcNsNtflIdt6IMUQIpEI7fU1MzNT0jghEomgVCrR29uLG264Aa+99hruv/9+DA0NAQB+97vf4ZVXXsEXvvAFfOtb30JHR0elL4eGmRLJfC6Zzx/xFytn6mStIq+USiV27dqFcDgMu92O2dlZAMD4+DjGx8fR2dkJq9XK2qgrJvUg2AG5Ik1TUxN9gE3Si5uammCxWJZMWa0m9ZYmuRrxTiQSwWazwWAwwO1206nxzCqgRBQTiUQVa/NqDfRr3Sc46gv2P7UcFWVqagq33347AKC1tRWPPPJIjVtUOZhiGLB4es0WMQxYHOCTyeSmEcOqZaDPFurZQJ8IXyTFkYhf+cJXMchz19TURAtfzKpl9Q4bo6bKTTWvsZrC13JIpVI6qikYDNJ9PT+CpxhrFb6K8esjw/BNzSM6n8IUIxJsIQlkMov3JZHO4K2hSVxqUa7pPdZLIp3Bv787gnOjMWRFbUhK5jA2HUFwNo3Tk8DOucUoKL1eD4PBwFqhYD2sxxOOeHrNzs7SfT2RSGB8fJzuPx//+MfxsY99DM8++ywefPBBjI2NIZVK4emnn8a//uu/4rbbbsPtt98OuVxe6UulWU4UoyiKjhorl59YLdMQKYpCR0cH2tvbEQwG4XQ6aY/LkZERjI6O5qwv2So0sT0yjMBs55YtW5DJZGC32+mo82g0SqesEs+9WrGR0iSXQiQSoaenJ6fgAakC6na74fP56PG9EqIYFxnGUUk4MWyTc+edd9ImoQ8//DDa2tpq3KLKwlysRCKRqp6mrsRmE8M2c2QYm6+XGIjne3yV0i8FAgEd7eX3+wEAzc3N6O/vr3Sza8Zm8YJjpkeVC7YIX/mpjqTPl/KcCoVCtLS05Pg2lcvgN5HO4H/OjiGdyWJqPgk+j4KqUYQGAQ9ziTTcjNf+5+lwTcSwbDaL//9YCM6xWUQXUghFFhCLp8CnZJDyU8hm5nEgzIOAl0ba5UIgEIDZbIZGo6nbjcp6UmNlMllBMQQyNyQSCbj+co+y2SySySQGBwfh8/lgsVjQ0dGBm266Cddccw1+9KMf4Z/+6Z8Qi8UwOzuLhx56CE8//TS+9a1v4YYbbqholEY+TLGLmb5c7sqTbPDkoigKWq0WarUaPp8PLpcLiUQC2Ww2xx6ArXNBPUSvAYWiXXNzMy6++GKMj4/D4XDQkWLEc0+pVMJqtdakOnw9p0mudq5qaGjAeeedB6PRSItgpNKsy+XKEcXKaXS/2mqSHByrgf1PLUfFeP311/Hss88CAC699FLccMMNNW5RZaEoKmeiZC5c2ABZmBCzynrdKJRKvYhD5YKNaZLZbBZzc3MFwlepIkC+x5dYLKY3REQM26jRUoR8z7CNynrFMDYKX8zUtVL6vFgsBp/Px9zcHN32ZDKJmZkZdHZ2orW1tazj9vD0AmKJNOYSaSCbhUIqgli4OI7IGgQMryYsRmXVYN4YGp+Dc2wW03NJOMdmkQUgFfKRSGcQSfGRFDahS5zGickY3q/OIJFI4OzZs7TJvkqlYvVcR8bIfOGrlP4ilUoLhK/lNssikQi9vb3Q6XRwOp051QxPnjwJr9dLFyb49re/jS9+8Yt4+OGH8cwzzyCVSmF8fBx33nknnnjiCezduxd///d/X1XRiKIo8Pn8HD8x8v2lqk+uBjaIYcz3NxgM0Gq18Hg8cLvdOX3i3LlzSCaT0Ov1rBJI6iUyrFi0FUVRaGtrg0qlwujoKJxOJ2KxGABgYmICExMTaGtrg9VqpX3cqkE9p0mutQ+IxWJaFCORYsTmZWhoCF6vF0ajsWz9v1TBsdiagoNjJdj/1G4ifvGLX+C6664r++999tln8fnPfz7newsLC7jpppsALG5qn3rqqU0xaORHhrEJMsCThSSbFyrlYDNXk6yF+EfSePKFr1IEHJFIVCB8NTQ0LDlmbBaBCNgcaZIAGMLLyte4UYSvfCGDRNssLCzkVFGcn5/HiRMn6CpzzHlmPaQz5N4t/pu3zO3KZLLIAqj2LP5uYHEeDU4vpoz1djRCLhYgk83CNT6HqbkkoJBBLG+EoCmB9MyiBxvx/mltba365nUpSFRsvvBVyvzELIZA+staIxikUikuuOACRCIROBwOOi2XFCYgUTAdHR145JFHcMstt2Dfvn34zW9+AwBwuVy4/vrr8dhjj2H//v24/PLL19SOtcJ8TskYQDzEiglipa492SSGEUhlVZ1OhyNHjtDrykwmA4fDAa/XC7PZjO7ubla0uV7EsOXaSVEUOjs70dHRgVAoBKfTibm5OQDA2NgYxsbG0NnZCYvFUpXiHczxgQ2f8UqTuTpWAAAgAElEQVSQ9goEgnXv+8RiMbZs2QKj0YihoSEEg0FaFHM4HPB4PDAajdDpdOsSxUhkGBHcOTjKCSeGbVLuu+8+OJ1OAMBdd92FrVu31rhF1YEZGcZWMQxYnKw2+oDPRYZVDmLczBS9YrFYSe/b0NBQVPhaDWQzxIwO2KhsBgN9YGkxjG3CFxG9yiV8LfX6rVu30ib7RKwgVebIRmy9npSdigYIeBTEwsX7EF1IQSzkg8+jkEy/d78pCuhukdTEQH9sJoFkOoO5ZBrNEgHk4sV5jEdRUCvEmJpLIrKQQqtMirbubmilBjgcDnr+nZycxMGDB9HV1QWz2Vw1H0/ig8gUvqLRaEnCV35/KWdqLBOFQoEdO3ZgYmICDoejIAqG3DOz2YznnnsOt99+O3bv3o033ngDAHDs2DH83d/9HT7wgQ9g37596OvrK3sbl4I870QAY1Z9zRfFyHO+0hjBRjGMIBKJ0NraWrCuJJGQHo8HFosFarW6pgfP9WKgX0q0FUVRUKvV6OzsRDAYxNDQUI6P28jICNRqNSwWC6RSacXbWg5xqRowxbByIZFIcP7558NkMtEHRSTV2263w+12w2QyQafTrWlvQ8SwUu9xPXwOHOyBE8NYhEwmg0ajqcjvZeL3+2mjfKPRiD179pT9PdlKPYlhG73yFlMw2QxiWKUiw9LpdFHhqxRhRiwWFwhf5fKa2Yxi2Ea+VrK4zGQySCaTm0b4Wo6mpibs2LEDY2NjcDgcdHTCyMgIwuEw7Z2y1k2HTCTA+0yteMM5AVmDALPxFILTCxDyKSTSuff9A7218fvk8ShQf4lHS2Vy25Qi4sdffs7nUWhpacHOnTsRDofhcDgwPz8PAAiFQhgdHYVOpyu730w2m6WrfzK/SikA0tDQUCB8VduPS6VSQalUIhQK5Wz4Q6EQRkZG6GpuAwMD+I//+A+8+uqr2LNnD06ePAkAePXVV/Hqq6/iU5/6FPbu3Qu9Xl/V9jNTrIkoxhTXiTBGxoKlYLMYBuS2r6+vD6OjoxgZGQHwXqqr2+2G1WpFe3t7TTbs9egZttJnzePx0N3dDbVaDb/fT/u4AcDw8DBCoRC0Wi3MZjPEYnHZ21oJcamSVLK9UqkU27ZtyxHFAND+h0QU6+7uXlX/I21e7bzAiWIcpVAfT+4m4aqrrsJVV11V8feZmJigBxa3272qE5PnnnsOzz33HP3v119/HZdddlm5m1gx2CyGbbZIKWDxmjeLGFaOzzedTiMWi+UIX8wKZMshkUgKhK9KGpEy02Q2MhsxJZRcR37EF/lZOp0uKcWJ/GwjCF9LQVEU2tvboVKpEAgE4HK5kEwmkclk4Ha7EQwGYTaboVar17SB/8xODQ77pgGZCCI+DzPxFJLpLER8io4E4/Mo/H9bayOGaZvFCM/EoRALEFlIYSS6gPbGBsTTGfinFkWbVtniOKNuXtyIksp8bW1t8Pv9cLvd9D3zeDwIBoMwmUzQarVrumfFhC+yOV4OkUhUIHyx5VCKRMF0dHTQ9yyVSiGbzcLr9SIYDMJgMECn0+GDH/wg3v/+9+Oll17Cvn374PV6AQC/+tWv8Nvf/hY33ngjvvGNb0ClUlW1/UxRjFl5EihNFGO7GMYck2QyGbZv345IJAK73Y6JiQkAQCwWw7Fjx6BQKGCz2apeBbHe0iT5fH7Jggafz6d93Hw+Hz2uZLNZ+P1+BINB6HQ6mEymss4DZD/F5vtJYK63KyneyWQyXHDBBbQoFgqFACxGSp47d44WxbRa7Yr3jUSYrbbNnBDGUSqcGMaxqWCzGJYfGbYZIBU0N4MYRhb4zHSR5UilUgXCF9O4ezmkUmmB8FXtU8vNIobVe5rkUsJX/rWQ60wkEjh58iSMRmOOz1O5hK+1mpVXQ/haDh6PB51Oh66urpwqWyRNyu/304bxq6FLIca+j/biod87AApokrz3HDv/stZvEgvRIKjNRmyHrhlH/RF0t0gwNxqDf2qBFsEAoK1RBLlYAEubDM2SXPGdx+NBr9dDrVbD7XbD7/fTkYekiuJKUTSJRKJA+IrH4yu2WygUFhW+2L6BIht+jUYDj8cDn8+HTCaDVCoFp9MJv99Pi6+f/vSncdVVV+Hpp5/Gww8/jImJCSQSCTzxxBN4/vnncccdd+CWW24pyB6oJEwRvZgoBoCOHMsX29kuhhVrn0KhwM6dOzExMQG73U6vOyORCF0FsZw+gytRL2LYegQmgUBARx95PB54PB6k02labPf7/dDr9TAajes+ECR+eOR92U61K182Njair68PZrMZTqeTjpSMx+M4e/Zsjii21DPN7LNcJUmOSsD+J5ej7PD5/FVNvLFYjB6MhEJhTiRZPQz+TDgxjF0wK2huBng8HtLpdMH1plKpAmN7knK1EjKZLEf0amxsZMVzuVnEsHqKDCtV+CoW8dXe3k5XCJ2ZmcGJEyfQ1tYGs9kMqVRaM+FLLpdXPXVtOYRCIWw2G7RaLRwOB8LhMID3IkLI5nc1xs6WNhmevOYCHBiaxDveacQSabRKhXhXLMRYZHlj/UrT0dSAS0yteMs1iS1dcoRn4ojF0+DzKKgaRWiRCiEV8vGhLUtHrpF71t3dnbNhIoUJSBSNTCYrEL5IyuByCASCAuGLVL6tV4RCIaxWK7q7u3PSkeLxOM6cOUNXnlSpVPjqV7+K6667Do8++igef/xxukjAfffdh6eeegr33HMPPve5z1V13mCKXWQsYkaGFTParycxLF/EUSqV2LVrF50ezPR/O3DgQNUM3+vNM2w9gh15RvR6PVwuFy0cp9Np+t/rrXhYz5Ukq9nexsZGbN++HTMzMzmVchcWFnDmzBm4XC6YzWZoNJqCfslMZ1+pzcy1TD2P7xzVhf1PLkfZ2bZtG6anp0t+/WWXXUYbsl5zzTX42c9+VqGWVZ78apK1KEW/FJtZDCPeUmxenJUDPp+PdDqNZDIJr9dLC1/EN2c5KIoqKnyx9XR3M4phbIoMW4/wlf9zYNFfsqWlBUNDQ5idnQWwWLlrYmICBoMBBoNhyd+xUYWv5ZBKpejr68PU1BTsdjui0SiA9za/Go0GZrO55DQ8EZ+Hv7Gp8De29yLLfsxnx9x1uU0JsZCHN52TEAlyx3BtsxgfvaATLdKVPzOJRIJt27ZBr9fj3LlzBVE0pbARha/lIMUc9Ho9HA4Hxsdzq3U2NzfDarWiubkZ9913H770pS/hO9/5Dp577jlkMhmMjIzg1ltvxY9//GPcf//9+OhHP1rVe0WqwzHHKZKGnS+KMecSNn6eKwlNJD24vb0dw8PDcDqd9Nw/MjKC0dFRaDQaWCyWinhbMdu4kj9brSlntJVIJEJvby8MBgNcLhf8fn9OxUOv17smHysgd63O1rUYk1qJYQS5XI7+/n5Eo1E4nU76sGhhYQGnT5+mRTGmrQCzzaVGhrG5b3OwD04M49hUtLS00H9nW2TYZvUMI5DS6xuJRCKRE+1FTriSySSGhoaW/H8URaGxsTFH+JLJZHWx2CIwxTA2ic7lhg1pkuUWvpZKdSQ+T6RyF/F5crlcCAaDsFqt6OjooCNP1ip8EdGrXoSv5WhpacFFF12EkZEROJ1OOpIpGAxiZGSELjtfT892PhRF4RJTKy7UN2NwJIapuSSEfAoGpRRdipU39alUqqC/lBIZy+fzC4RSEqW42WhsbER/fz+mpqZyqnVOT0/jnXfeQXt7OywWC7q6uvD444/j1ltvxd69e/G73/0OAGC32/GZz3wGF198MR544AFccsklVW3/UqIYGXuY6WgAO6OaSjWnpygKGo0GXV1d8Pv9GBoaQiKRQDabRSAQwPDwcEW8rZhtZPN4w7SSKGc7xWIxtmzZAoPBgKGhIQSDQQC5PlZms3lVXoVcZNjaaGpqwsDAACKRCJxOJ8bGxgAsRgOfOnUKLpeLHq+YkWGliGGbcfznWB/sf3I5OMoIlybJLvLFsHr2AyDeNUzxqxTvGh6PV1T4YuNifzXkV1lk8+J7PVS7mmS1hK+lIJW7Ojs7MTQ0RKdOxuNxnDp1CqdOnSrpOjai8LUUFEWhq6sL7e3ttLEzSZd2Op0IBAKwWCzo7Oys64W8iM/DNk3Tsq9Jp9P0OEnELxJpuBqId5Zer9+wY8taYFbrdDqdtKgYDocxNjYGjUYDk8mEnp4e/PKXv8Tbb7+N3bt348CBAwCAgwcP4oMf/CA+8pGP4P7778eWLVuq2n5mRBgRwOLxOGKxGJ1aSF7HtkOW1aZxEs88jUYDr9dLF0VgelsZjcZ1VaTNpxzph5Wm0r5mzIqHDocjx8fqzJkzcLvdsFgsUKvVK/YvtohLpbKWKKtKolAosGPHDkxPT8PhcNCFJubm5nDixAkMDQ2hre29FHvOQJ+jErD/yeXgKCNCoRCNjY2IxWKIRqOsWkxxYlh9RMMRU2yymSN9qZRqZUx6e3vpSIZ6F76KwYaIqWpQSc+wWgtfTPJTHUn/LwWxWJwjem1k4Ws5+Hw+jEYj1Gp1TmTCwsICTp06BZ/Ph56enpxDm3omnU7niF6lCl88Hq9of/H7/fB4PLTvD7mHZrMZXV1drJnLaw2zWmcwGITL5cqJPAqFQtDr9dDr9di1axf+53/+B6+88gruvfdenD17FgDwn//5n/j973+Pa6+9Frt374ZGo6lK2/MrgUYikZzIEOY1EmsFtnzuzDXMatokEAhgNpvR3d0Nt9sNr9dL93Gn0wmfzweTyQSdTrfutQIzTZKtVCv1kFT8nJmZyfF3nJ+fx8mTJ+Fyueho56U+z3pOk2RTe5ubm7Fz5046snVychLAYro3c85YTgzbyOtMjsrCiWEcmw6FQoFYLMZFhrEA5jWzUQzLZrNYWFigBS9S3bEU4YvP56OxsRFNTU30n0wfnI6ODlYtRspNtSOmakW5RD+2Cl9EzJiZmVn1uERRFHQ6Hcxm84bu66uloaEBW7ZsgU6ng91up0/Do9EondJmtVpzitWwnUwmU1T4WumZoCiqQPhaKjKWpDDlC4mnT5+mK08qlcqKXF89QqI4u7q64PV64fV66YhE4p1EKrl95CMfwZVXXokXXngBDzzwAIaHh5HJZPDzn/8cL730Em655RbccccdOVYT6yWZTK6pIEJnZyf4fH5OCj4bRDFmat9a2iISidDT0wO9Xg+n04lgMEgfvp07dw4ejwcWiwUajWbN18pFhhUil8sxMDBQEJ1EfPfkcjmsViva2toK7ns9p0myITIsH2IrMDExAafTiampqZyfu91uiMXiJSsMMwMcaj0ecNQP7H9yOTjKCEVRUCgUCAaDJUc1VIt6jJJaL8xrrrUASIQvkuJIxK9ip9L5CASCglTHYt41zMXSRk4dBHJFoo3cn9dioF9u4YspeFVT+MqP+GpsbMTY2BjtJ5bNZuH1ejEyMkL7f3AL1PdobGzEwMAAxsfHYbfb6RNwktKm0+lgNBpZt2nJZDL0AQH5isViJQlf5GCA2WdW01+ZQiLTMH5mZgZHjx6FUqmE1WqFXC5f1zVuJJiRRy6XC4FAANlsFslkEoODg/D5fLBYLOjo6MD111+PT37yk3jyySfxyCOPIBKJYGFhAT/84Q/x7LPP4q677sKXv/zlVRu8k4rJkUiE7jOlFI4RCoU5vnByuRwikQiZTCZnLCH+YiuNmZWEjOvrjboSi8U4//zzYTQac9L4SASp2+2GzWZbUhBYrn3kGWXz2qNWAhOJTpqcnITdbqcLjZGxhRSjYArubI20Wop6SetUKpVobW3F5OQkTp48SYvkCwsLOHbsGJqammCxWIoKlBwcq4W9TwIHa/jjH/9Y6yaUDYqi0NS06GkyNzeHRCJRsao9q2UzRobVSgDMZrOYn5/P8fcqVQAQCAQ5opdcLodEIilpQs4XiNi2yS0nmzEyrNh1bhThq6GhoaBKX7FUR+InxqzaFY/Hcfr0afj9/g2VBlguVCoVWltbMTw8nGOm7fV6MTw8TEfv1CK1KZPJYHZ2tsDgvhThSyaTFQhf5dowEsN4snGdmZkBsFitc2JiAmq1GmazmTXzOxsgVfV0Oh2cTidGR0cBvJcW5vV6YbVa0draijvvvBNf+MIX8P3vfx9PPfUUEokEpqamcM899+DJJ5/Enj178JnPfKbo57nW9FhmQQTyVWxuJX5izMgwkjZJ/l4LUazcKYgkjS8ajcJut+dUCj127BgUCgVsNlvJ0ZClGvzXmmpHhuXT2tqKiy++GOPj43A4HPTBOSlG0draCpvNhubm5roRlwj11F6KoqBUKmmvTSbRaBRHjx5FU1MTrFYrVCpVzv9j/snBsRLsfhI4OMoMiQwjRKNR1iyWOTGsMmIYEQDyha9S3k8oFBYIX2KxeM2T7GaK/tssYlh+dALZoLFF+GJuSsstfC2FUChET08PtFptziaOpAF2dnbCYrFAIpGU/Ds3OjweD1qtFp2dnXC73fD5fMhkMnT0jt/vh81mg0qlqtgiP5vNFhW+Snl+84UvuVxelY0s2bjmV+scHh7GyMgI9Hp9WQ3INwJSqRQXXHABIpEIHA4HnYoUjUZx5MgROrqutbUVDz30EG6++Wbs378fL774Iu079qUvfQk/+tGPcP/99+OSSy7JGWdKiRIs5gsnk8lK6ttMsYuMs8x0SaZAVk1RrFKVGpuamnDhhRcWRCxFIhG88847UCqVsNlsOWvbYtRaZCoVNkRbURSFtrY2qFQqhMNhOBwOuoDD5OQk3n77bbS1teWkstfDGFNPYhiB2W+3bNmCQCBAC5RkzFIoFLBYLNxBG8eaqI8ngYOjjDAXDJFIBO3t7TVszXuQ0uLE02MzUG5xKJPJFAhfsVispN8tEokKhK+GhoayLqSZ17uRBSJg44thzIgvQjqdLkirrSfhi2xOGxoaSn7v5ZDJZOjv78fExAQGBwfp6JCRkRGEw2FOqCiCQCCA1WqFVquF0+mkU6Tm5uZw/PhxOiphvWmA+QURSJ8pZayUSqUFwlctP0NmtU6/359Tlc/tdiMYDMJkMkGj0bDaOLzakEpuExMTOZt9El3X1dUFs9kMnU6Hp59+Grfddht2796NV199FQBw+vRpfOITn8DWrVtx/fXXw2azFX0fZnqsQqFY1hduNZA1E/PwIZ1O10wUK1ea5FIQ4XdsbAx2uz3n8zpw4AA6OjpgtVrR2NhY9P8zn202PwdsEu1IMYr29naEQqGcCq1jY2M5r611W0uhHsUw5pqqvb0d3d3ddLVcEhEciURw5MgRNDc3w2Kx5ESKcXCsRH08CRwcZYKiqJyTA3LCxhaIGLZZIsPWY6BP0nfyha9ShJeGhoaiwlel2Sw+WsDGEsOWS3VkimFTU1Noa2tbMuKpXMLX/Px8gYhRa+FrOZRKJXbt2oVgMEj7iRGhYnh4mPMTK4JEIsG2bdtok30yV5GoBLVaXbJHXbE+E41GSxqDJBJJQZQgWzdRfD4fBoMBarUabrebTtMlBuR+v5/zmcmDoiioVCoolUqEQiEMDQ3R0XWhUAihUAhyuRw8Hg+xWAxf/epX8Td/8zf4+c9/DofDAWBRFPvGN76BSy65BJ/97GfR09NTsfTYpa6BjKFMUWwpQawSnz15T6CyQhNFUWhvb0dbWxtCoRAcDgftvTY6OorR0VFoNJqikbdcmuTaoSgKarUanZ2d9DyWX+zB6/VCJpOxuvAJU1hi6zieD7PNQqEwR6AcHR2F0+mkheHp6Wn4fL6KRlBzbDzq40ng4Cgj+ZFhbEIgECCRSGwaMazUyDBi2JwvfJWyGSQm38yv1aR8lRMuTZL9rNbji5lmTYx2NRoNuru7IRAIai58MVORqiF8LQWpbMf5ia0OhUKBCy+8kE7VIRvf4eHholVtSSGQfOGr1III+cJXPfoakqp83d3dOd5Ys7OzePfdd9Hc3FxSWtlmgfQZPp+Pjo4OhMPhHHN7En1B2LZtGx5++GEcOHAAL7zwAl3Z86233sLBgwdxww034O6770ZnZ2fVroF50MD0FGN+j4zZZAwu52aZOT9UQ8BhijN+v5/2GgSAYDCIUCiE7u5umM1mer3DRpGpGGyu0EjmMbVaDb/fD7vdTvez8fFx/PnPf4ZWq2WtX2E9RoaRNvN4vJx+S1EUOjs70dHRQafJz87OwmKx1KqpHHVKfTwJHBxlhLnZYqMYBiwuBpglgjcqxapJptPpAuFrdna2JOFLIpEUCF9s2szVq0C0FurhWsthbi+RSNDb2wuXy0UbnwcCAYTDYVit1pIjnvKFL5LyWI/C13Iw/cQcDgedakL8xEiqD+cn9h7kJLytrQ0+n49OAyTE43EcO3YMmUwGMzMzJVXAzRe+anlIUCmIN9b09DQcDgcdXTc9PY1Dhw5t2r4Wj8fpcYZUdyylzwCL47pKpYJWq8Xll1+Ob3/72/jZz36GBx98EOFwGOl0Gk8//TReeOEF3Hbbbbj99tvpokXVgIzVRBAjYzsZg/P9xcq1xmLOcdVMQeTxeNDr9dBoNPB6vTkpwl6vF4FAAEajEQaDoS7FMLa2k0ShTk5OIhwO09/PZrPw+/0IBoPo7u6GyWRi1VxM5g2SYlwPkLFpKfGOmSY/OTnJVRLmWDWcGMax6WCzGJYfOVQvJzflYHx8HJOTk5ibmytJ+JJKpTmiV2NjI6uEr2JspsgwtvmjVbKqo0ajQVdXF9xuN7xeL52adfr0aQQCAfT09OREoaxX+Mo3nmbTYrtUSKW0iYmJHP+b0dFRjI2NcX5iRUgkEpBKpVCr1TkbMAB0kYJi1Co9li00NzfjwgsvxNjYGBwOB+35Mzo6inA4TG9a2T5/rIVEIoGZmRla9IpGo4jH4yv+P5FIBIVCAalUipmZGUxOTgJYHEfD4TBmZ2fpKm433ngjPvOZz+Dxxx/Ho48+ilgshrm5OXz3u9/FM888g7vvvhtf/OIXqyq25otizMqTBKa/2HpFsVr7cQkEApjNZnR3d9PzUCaTQTqdhtPphNfrRUdHR03bWCpsMNAvFeb6wWAwwO/304V0iBip1+thNBpZMb6Qe1tP8ypp80r3j6IotLS00H/f6MEEHOWjfp4GDo4ywWYxLL+iZD1NWCuRSqUKKjqSTQmAnLSMfGQyWYHwVY/3hm0CUSWpZWRYJYWvpVIdeTwerFYrNBoN7HY7HfEUiURw6NAhtLS0QCaT0ablm0n4Wg6lUomLL76Y8xPLgxm9Q76KpUUWQyQSob29HSqViq6Au9khXksqlSqnr2WzWfh8PgwPD8NoNEKn07FaKFiOVCpV0GeWm1cJQqGwID02v8/EYjE4HA5adJ2dncXx48fR3NwMq9WK5uZm3H333bjhhhvw8MMP45lnnkEymcT4+DjuuusuPPHEE9i7dy8+/vGPV/X+Mn3C8kUxMqaQyLH1bKDZ4sdFUoT1ej2GhoYQCASQzWaRTCYRCATo17G5j9dDZBiBOY/bbDaYTKYCMdLlcsHn88FoNEKv19d07VqqsMQWstlsXQp4HPUF17M4Nh31JIbVK8lkskD4KmVRTlFUUeGL7QuiUuEM9MtPLYSvpSDv2dnZCR6Ph7GxMbp9U1NTmJqaWvL/ikSigg3pRhO+loLpJ+Z2u+Hz+TaVn1gikSgQMUqJ3iHweDyIxWLa0DmRSCAYDIKiKM4XKw/S17q6uuDxeOhNayqVgsPhoE32Ozs7WS3AptPpnOqx0WiUrta6HHw+nx5fSGVHsVi84rU2Njaiv78fU1NTcDgc9Nppenoa77zzDtrb22GxWNDe3o4f/OAHuOWWW3D//ffjN7/5DQDA7Xbj85//PB577DHs378fV1xxxfpvwipgil1knmCmS6638mStI8PyEYvF2Lp1KwwGA5xOJ0KhUM7Pidl7R0cH6/p5PYphpB8xxUimNyYZX7xeL0wmE7q7u6t+bfUoLDH3QSsJeKUWlOHgyKc+ngYOjjLCiWHlhaRhML/yq+wUgwhfJD1KLpdjYGCA9Yuf9bCZ0iQrIYaxTfian58v2JCW8txSFAW5XA6VSrXphK/lEAqFsNls0Gg0G9ZPLJlMFghfpYyXAoFgSbFUKBTi0ksvRSgUgtPpRDwep71rQqFQ3Uc8VQKBQACLxQKtVpsjFiwsLODUqVPw+Xyw2Wx02k0tIQVkmB5fpfho8ng8yOVyWvRqamqCVCpdl/jR0tKCnTt3IhwOw+l00tHd4XAYY2Nj0Gg0MJlMMJlMeO655/C1r30Nu3fvxh//+EcAwPHjx/HRj34U73//+7Fv3z5s3759zW1ZC8QriTmHMNMl1yqK1cozbCVkMhn6+vpgNBpx4sQJer2VSCRw/PhxKBQKOt2VLbDZQD8f0tb8dorFYmzZsgVGoxFOpxPDw8M5lW3dbjfMZjO0Wm3V+gtzzcT2+0pYS/VLLkWSY7XUx9PAwVFG8sUwNhnVs10sIREMTOGrlAgGHo+HxsbGnIgvmUwGiqLw+uuvA6gvQ8+1Ug+m8uVivde6UYQvkUiExsZGOlqS/L5oNAqhUIjOzk5OCMtjo/iJkc98tWlrzOgd8iWRSFbs52q1Gh0dHfB4PPB4PDkRT4FAAFarFe3t7ayZ79iAWCzG+eefD71eD7vdTntjRaNRHD58GG1tbbBarZDJZFVpTzabxezsbI7H18zMzIrCFxHYmX1GJpNVZKPNLOgQDAYLioeEQiHo9Xro9Xr09/fj5ZdfxmuvvYY9e/bgxIkTAIDXXnsNr732Gq6++mrs3bsXBoOh7O1c6RqKiWLkfq1WFGNLmuRSNDU1QavV4ty5cznfj0QiOHz4MFpbW2Gz2VgRfVuPkWFLtVMikWDbtm0wmUw5ons8HseZM2fgdrthsVigVqsrPi7XcyVJoLTUTm5u41gL9fE0cHCUES4ybGXICRbZyJFT6VI8a4jw1dTURP8plUqXXJTz+Xyk02lWin/lhu1iZzlZjRhGfs5MXwHqU/jKr9DH9Aj9ykQAACAASURBVN6JRqMYHBykq9pNTEzgwIEDG9rAez0QP7Hh4WE4nc4cP7FgMLiqap2VhngiMvsM0xNxKfh8foGIsZ7oHT6fD7PZDI1Gg6GhIQwPDwNY9GQ8ceIEmpubYbPZuPTJPORyOXbs2IHx8XE4HA5agB0bG8P4+Dgd8VRO4TqbzdIegsyvUg4PyNzKHGuqHZHETDn1er3wer30XE5SxEwmE7RaLT7wgQ/giiuuwEsvvYR9+/bB6/UCAF566SX89re/xY033ohvfvObVY9QYkaEEWGMXFsxQWyp55JtaZLFYLbRZDJhbGyMPqCZnJzE22+/TUffNjY21qqZdWWgX2raIYnQM5lMcDgcdAGU+fl5nDx5Ei6XC1artaJpq/Uohq0lMgzgRDGO1VEfTwMHRxnhxLBciDdPfqpjKcIXn89fMuKrVIgYVi9poeuBM9Bnn/C1sLBQsBkth/BVjKamJlx44YUYHR2F3W6n09l8Ph9GRkaqdkJcT/B4PGi1WnR0dOT4iZFqnX6/v+rpbGv1ayJpa/nRO5X4vIlnkE6nw+DgIO1XNz09jUOHDqGzsxMWi6WuU04rgUqlglKpxPDwMIaGhuhnlEQ8GQwG6PX6VW/S1zPWSKXSHI8vuVzOKpGAWcnQ5XLlmLYPDg7C5/PBYrGgo6MDn/70p3HVVVfhmWeewfe+9z1MTEwgmUziJz/5CZ5//nnccccd+MpXvlK1SDygsPLkcqLYUpUn2ZomyYTZxtbWVlitVoRCITgcDjpidXR0FKOjo9BoNDUbH+olMiyTydD3tFShhtiBTE9Pw+FwYGJiAsB7BSnkcjmsViva2trKPi/UuxjGHRZyVIr6eBo4OMqISCSCTCbD7OwsotEoq9IkKy2GkQV5vvDFnHCWa1u+8LVe/xHgvcXORo+UAjavgX4qlaIrtwHsEb5K7ftM4YuIGWut0EdRFDo7O9HW1paTzpZIJHDmzBn4/X709vayIl2FTSznJ3b48OGK+Yml02k6MpZ8kaih5WBGyFY6bW05mBFPdrudjlYbGRlBOByGTqeD0Wism81RNaAoChqNBp2dnfB6vfB4PHTEE6nQZzablxWu4/F4TqpjNBotaayRSCQFInu9bAJFIhF6e3uh0+ngdDoxOjoK4L3oF6/XC6vVitbWVnzlK1/Btddei8ceeww//vGP6Wjc+++/H0899RTuueceXH/99VXtl/miGBE7yGecb7rP/OzZniYJFIpMJLW6s7MTgUCAFn8BIBgMYnh4GDqdruwRkaW2c7VzfLVZj2jX3NyMnTt3YnJyEg6Hgz6smJmZwdGjR+kqrUqlsmztXWuUVS0pNU2S+WxycKyW+ngaODjKjEKhoH052ARzQl2vGMZM92J+lfJ7BQJBjugll8tX9KxZK5tJDNvIaZL5EV/M60ulUvTP61H4amhoKHvfJ+lsarUadrudTpuYmZnBO++8g87OTlit1jWLbhuVSvqJMY3KmcJXKX5NTOFLoVDURPhaCoqi0NbWBqVSiUAgAJfLRaecejweDA8P032RLW1mA3w+n07zGxoaQjAYpCOpz5w5A5/PB6vVCrlcXhApWIqXZkNDQ4E3nEgkqsKVVRapVIoLLrgAkUgkZ6MfjUZx5MgRKJVKWK1WKBQK7N27FzfddBMefPBBPPfcc0in0xgdHcVtt92Gxx9/HPfddx8+9rGPVXWTy0yJZHqKMdtA/MXI6+otTZK5FuHxeNDpdFCr1fD5fHC5XEilUshms/B6vQgEAjAYDFUTzZcypWcb5TD6b21txUUXXUSnZ0ejUQDvVWklEXzliHyu98gwLk2So1LUx9PAwVFGSLn54eFheuJhC8zBfjViCfEeyRe+SvkdQqGwQPgqpdR6uSDXTBadbF1IloONkiZZSqoj83McHR2lF9zM073NInwth0QiQV9fHyYnJzE4OEiLOyRyx2g0rikta6OjVCqxa9cuBIPBNfmJZTKZHKNyMmaWKnwx0x1r4de0Fsgz2NXVVZByevbsWbqCIpsqy7EBkUiE8847j045JalNsVgMx44dK+l3CIXCAuFrowvdCoUCO3bswMTERI4P28TEBCYmJtDV1QWz2Yyuri78+Mc/xle/+lXcd999+Pd//3cAgN1uxzXXXIOLLroIDzzwAN73vvdVtf3LiWI8Ho+OGqtHMaxYGwUCAUwmE53u6vV6kclk6IhIn88Hk8kEnU5X0fmItJPtc165xCVyWKFSqRAOh3OelcnJSRw8eJAu5NHU1FTz9lYTzkCfoxrUx9PAwVFGKIqiJ5TZ2Vkkk0nWVHMrJU0yk8kUCF+xWKwk4UskEhUIX9Xe/OeTHy3F1oVkOajHNMm1enxJJBI0NjbSi7pQKISxsTEYjUao1Wo6TaPawhdTxKh132fS2tqKiy++GMFgEENDQ7S4Q0zQbTZbRXxE6hmKopb1E/P5fOjp6aEjgZnROzMzM2syKm9sbGT9Jm0lSMqpVqvNMXOenZ3FsWPHoFQqYbPZamqizQbyveEikUhJRREEAkFR4WszPrsURdE+bKFQCENDQ1hYWACwOCeMjo6iu7sbRqMRPT09ePHFF3Hw4EHs3r0bb731FgDg0KFDuPLKK/HhD38Y+/btw5YtW6p+DeSLGfnMNN+vB5+rUtsoFArR09MDvV5PF0JgesB5vV66SEcl1msrVWhkC+U2+idVWtvb2xEKheB0OunxZmxsDGNjY+sqcFCPYhgXGcZRDerjaeDgKCMkMowQjUbR1tZWwxa9R74YRqIX8oWvUjZxDQ0NRYUvtpGfGlov/ihrYTUVFmtBOc3tKYpCf38/gsEgXWUslUrB4XBgZGRkRV+sfOGLbEpLFb7yjcrZJHwtBanO1tnZiaGhIfj9fgCLnjvvvvsuWltb0dPTs+lFinyY4s7g4CDGx8cBLKacHj58uOTfI5PJCvya2L4hWw9SqRR9fX2Ynp7G4OAgHSlNqpxqNBqYzWZWzhvlJpPJFC2KsFKkYD7Eb8xoNG7ouWy1EH+qjo4O+P1+uN1ueo3j9XoRDAZhMBig0+lw8cUX47//+7/xyiuv4N5778XZs2cBAK+88gr+67/+C5/97Gexe/duaLXaql8Dn8/PiRKLx+OIxWKYnJzMeR0b/YtW62smFouxZcsWGAwGOBwOhEIhAMDCwgJOnz4Nj8dT9gqITGGR7WNvOdIki8H0ciOHY0RAJgUO1Go1LBYLpFJpyb+3HsWw1UaGcXCshfp4Gjg4ygxTDItEIqwQw0jEF2FqagpvvPFGSYtxsVhcIHzVi/fIRvbRyoeZXlHra61WVUdygkxEMOA9XyyyoBOJRLTwxdyQbmThazmEQiF6e3uh0WhyKgFOTk7i7bffhlarhdls3vSLQ5Ienh8pWAqkQh9T+KqXDUK5aW5uxkUXXYSRkRE4nU564xUMBjEyMgKj0Vjx1KhqQg6Z8vtNKSmyzLFGoVBALBYjGAwW+CwNDw/TfmMbOdp5tfD5fBgMBmg0Gng8Hvh8PmQyGaRSKTidTvj9ftq/7iMf+Qg+9KEP4YUXXsADDzyAYDCITCaD559/Hr/+9a9x8803484776xaJVmmYErSq4tVkc1PoWTLXLTW6DUimptMJtjtdrp4CamA2NTUBJvNBqVSue5rrYdCBIRKi0vkcEyj0cDv92NoaIiu8j48PIxQKESvBUpJua5HYanUapLF1q0cHKWyOVd+HJsaiqJyIlKmp6er3gZSoYwZ8ZV/Cr2UWCKRSAqEr3qZ2IqxmcQwYPF6qy2GVUv4WgqxWIxt27ZBq9Xi7Nmz9AaCLOh4PF7J/nb56Uf1LnwtB6kEGA6HYbfbsbCwgGw2C7/fj5GREZjNZmi12g17/UxIQZB8AWO1hUYEAgEsFsumuW+lQlEUurq60N7eDp/PB7fbTVdQdDqdCAQCsFgs6OzsrKv7li+YRiKRklJkKYqiIwUVCgWdIltsrNPr9VCr1TmpuiSljJjst7e319V9qzRCoRBWqxXd3d10KjgAujgBqTypUqnwuc99Dp/85Cfx5JNP4pFHHsH09DQWFhbw6KOP4tlnn8Vdd92Fm2++uawebNlsNsdTsFTBVCqVQqFQ5IhhpM/U+vNfr68ZmY+mpqZgt9tzCiMcPnwYra2tsNls66qEXKloq0pQ7jTJpeDxeNDr9dBoNPTYTKpz+/1+BINBdHd3r1j1s94jw+qlzRz1B9ezODYl+ZFhlSSVShUIX3NzcyVFfEml0hzRq7Gxsa6Fr2JsNjGMLEIrlSZZa+GLCTPVkZyok5NN5muKfe6bTfhaCuIjolKp4PV64Xa7kclkkEwmce7cOQQCAfT09KC1tbXWTS0bxbzhotFoScKXWCzO6TMSiQSBQIAWKVKpFM6dO4dgMIienp6qRZXUC3w+n/b1IxUUgcXUqFOnTtE+bOvZ8C5FMp3BQfcU/jw0ifFYAmIhD9u1ClzRo4JStnKkM7PfMAsjlNJv1psiS1J1u7u74XQ66SjY+fl5nDhxAgqFYt1CwUZELBZj69at0Ov1cDgcdIoziTpqbm6G1WpFc3Mz7rjjDnz+85/HD37wAzz11FOIx+OYnp7G7t278dRTT2H37t245pprVi1MMIV2Zr9ZaT2SX0WWVN0mPmJMjzHmHForyPWstx0tLS10BUS73U5H45LI5fb2drrK6lrbCLA/Mqzawh2zwIHH44HH40E6naZTjQOBAPR6/ZIp2vUoLJHIMD6fX9Lac7OtDznKQ308DRwcZaZSkWGpVKqgomMphrvA4mJcLpdjfHwcqVQKAoEAu3btKlvb2MpmE8PI9ZbjWtkofOX77pSS6shEoVCgp6cHTU1N3MKGAZ/Ph8lkglqtzkk5jcViOHLkCG2sK5FIatzS1UF8d/KFr1L6TUNDQ4FgWiw9nPiJMVN8iJ9Yvd63StPQ0IAtW7ZAp9PBbrfTFRSj0SjeeecdesO7Gs+a5RiPJfC9/3YiMDUPAEhlsuDxANfYHH53YgRf+j8GvM+cK/gWE0xL6TcSiaSg35RrcyiRSLBt2zbodDo4HA46eiYSiVTkvm0UGhsb0d/fj6mpKTgcDvqQcnp6mr5vFosFra2tePDBB3HzzTfjgQcewAsvvIBsNotAIIAvf/nL+NGPfoT9+/fjQx/60JLzRzwez4n4KrXflCKYknmYRH8z28A03a/F3EbWC+UyeycVEPPN3sPhMMLh8Jp8repJDKuVuESiKvV6Pdxud07VT5fLBZ/PR1ehXqooV72JYattL7d25FgN9fE0cHCUGaYYRkyDV0symSwQvubn51f8fyT9Ij/ii0z8hw4dKtkkfyNQSgXNjQT5nFf7+W4U4Ss/4gsAXC4XfbociURw+PBhmEwm6PV6zm8nD2bK6eDgIH3fRkdHMTY2BoPBAIPBwNqNRDHhKz9asBikGmh+pGCpSKVSbN++HZOTkxgcHKSrnJL7ptfrYTAY6maTUC0aGxsxMDBAR4GQFOdwOIyxsTHodLp1m8UnUhk89F8ODE8vYHo+iam5JFLpLCgKkIsFUDWK8PgfXcjGY1CLU3QETyn9himYKhSKqvlpKhQK7NixA+Pj43A4HAX3TavVwmQy1Y23Z7VoaWnBzp07EQ6HCwSWsbExaDQaOjrmpz/9KW699Vbs3bsXv//97wEAZ86cwcc//nFceuml2L9/P/r7+3NSZKPRKOLx+IrtYEaYkn5TSh9n+oQxjfaZ83Kt/MQqYUzPNHsPBAIYGhqi7y+xQeju7i65EEe1Ug/LQa3bKhKJilb9JIWKPB4PTCYT7fe41sqMtYTc49XML5wQxrFa6uNp4KgJ8/Pz+N3vfoff/OY3OHnyJEKhEJLJJDo7O6FWq7Fr1y5cfvnl+Ou//uu6q27GFMNKSZNMJBIFwhcxGV4OEkZPQunlcjlkMtmyEydTLMlkMhteDNhskWHk8yQL5WKfL9uEr7VG7uQLX3K5HGKxuKDNbW1tGB4ehsPhQDKZRCaTgdPppFPZ2FDggm20tLTg4osvRjAYhNPppO+by+XC8PBw2at8rYVEIlHQb0rZiFYyRba1tRW7du0quG9utxvBYBAWiwVqtZpbUOehUqnQ2tqK4eFh2si5XGbxf3JO0ELY2EwCFAVIhRTiqQymZ+OIzcehbMji2T9F8Gnz0ocIpN8Qj6/VCqblhkTPKJXKgvvm9/sRCoXoCops3/hXE5Ia3tbWRhcnIPctEAggFApBr9dDr9fj/PPPx7/927/hz3/+M+655x4cOXIEAPDmm2/i8ssvx1/91V/h2muvhUajWfL9hEJhTp8pR79hil3MeZw5/zNfU43xppJVGnk8HnQ6HTQaDZ3OT3ytfD4fXS3UYDAsK2zUU2QYW/zNSNVPo9FIp7YzfQs9Hg/MZjMtLPH5/LqY35jeuivd39VW/eXgYMKJYRxFefnll/GVr3wFPp+v4GculwsulwtvvvkmfvCDH+D73/8+7rrrrhq0cu0sJ4aNjo5CIBAgGo0iFouVvIHj8Xh0GD0Rv2Qy2ao3B/mRUhv95HiziWFLXe9mEb6WartGo0F7ezuGhobg9/sBLAryx48fh0qlQk9PD5dalAdFUdBqtejo6Mg5GV5YWMDJkyfh9/vR29u7Ju+W1UIODJj9ppQDA4FAUCB8ldpv1grzvjFNzxOJBM6cOQO/38/5iRWBx+NBq9Wis7MTHo+HTs8hmy6/3w+r1Yq2traSP790Oo3/PjWMhXgcYzMJZDNZKMVZ8ClAJgSms8BCGoingdAchck40NpQm36zVpj3zev1wuPx5FRQDAQCMJvN6OrqYmX7awWpptfV1QWfz0d7JDHTwZRKJfh8PgQCAfbs2YO33noLv/jFL2hD/gMHDuDgwYO48sorcfXVV6OtrS0n4qvS/YaiKPD5fPrwixx0kbm5mqJYJcUwAknn7+7uplP4yGc2NDQEn8+XE620VBsB9kcv1ToyLB+JRILzzz8fRqMRTqcToVAIwHtFKQhsaGsprLX6JTeGcqwWdo80HDVh//79uPfee3O+19bWBoPBALlcjomJCZw7d64kgYitEAN9hUIBn8+Hb37zmzhx4gTOnTuH6elpvPjii8uKUDwejxa8yJ9SqbQsUVycGLZxyY8EW1hYQENDQ10LX3K5vGwbCqFQiN7eXmg0GvpZBIDx8XFMTk7S5rD1spirFkKhED09PdBoNDn+TtPT03j77beh0WhgsVjKNpaQFHFmvyklRZxtAgYxPddqtXA4HAiHwwA4P7GVIBU5NRpNjln83Nwc3n33XbS0tMBms9Fp0IRMJlPQb2KxGIaGeYglKKTTgEQA8P/SHSgKkAoWxbAUeBA1CKDUqvFX1g5IpdK62/QIBAKYzWZoNBq4XK6c4gSnT5+mK08qlcoat5Rd8Pl8dHR0QCgUIhAI0CnOqVQKo6OjOa+95JJLcNFFF+HVV1/FL3/5S0xPTyOTyeD3v/893njjDdx66634x3/8x4K+WWnyRTFSOKZakWLkPYG1VZJcLWRs1ev19AFXfrQSGUOY7amnyDC2enDJZDL09fXBZDLlzGuEZDKJUCjE+srAa0nrZPP1cLAX9jy9HKzg0UcfzRHCLr/8cnznO9/Brl27cgaZVCqFN998E7/85S/rIkWSpCUcPXoUR44cwRtvvAFgMSrs17/+dcHrfT4fLBYLgMUJubGxMcfjq1zCVzGYg/5GF4eAjXu9S6U6Mp+jWCy2YvpX/gK5XMLXzMxMSZ47lRK+lkMul+PCCy/EyMgIHA4H4vE4ncoWCoVgs9nQ3t7OLXzyICbU4+PjGBwcpAWqYDCI0dFRmM3mVaeypVKpgn5TSlEQPp9f0G/YKmBIpVL09fUt6SdGfLHYtOFhA0yzeLvdTovXU1NTOHjwINra2tDc3Iy5uTla+CqWziKgAN5fukU6u9h3+AL+oniQzIKfSkEiFkIiFkHd0QaZTFbNyyw7JK2JmOyTCoozMzM4evQolEolbDZbXaytyk1+JdlIJFJyRVAej4eWlha0tbXhfe97H/bu3Yuf/OQnePTRRxGLxTA/P4+HH34Y//Iv/4JvfvOb+Id/+IeqHzYyI8KIMEbaXkwQK9d4yfQorabIRApxGAwGOJ1OOmIvHo/j9OnTcLvdsFqttDBTT2IY26PY5HI5BgYGEIlEcg7Jstks3n33XbhcrlVH8laT1UaGsfEaOOoDqkZ5tlxyLws5deoUBgYGaDX+9ttvx2OPPVbjVq2ebDYLj8eDI0eO0OLX0aNH6QXnckilUthsNnzta1/DJZdcQgtf1RxknU4nnZ7a39+/4VN1YrEYDh06BABQq9Xo7e2tcYtWz2o8voinE6G9vZ02oGaL8EXEi1pH7gCLCyKSbsG8n62trejp6dmUG8ZSIOXW3W53zqJdJpOhp6enaPRJOp2m+wvpO8T4ezl4PF5BxBdbha+VyGazOX5iBJFIxDo/MavViuHhYbrCaK3IZrOYnZ1FIBDA8PBwyYcaxFPzvwI8nBhLY3Q2hYVkBi1SEZrEAiTSGYRnEkhnszAoJZA3CPDkZy6AWMjuTfJqmZiYgMPhoIthEDQaTcnG4/VKIpEoqOxYylwlkUggkUgwPz9fEJWqVCphtVrp9PBwOIyHH34YzzzzTM4zbTAYsHfvXnziE5+oiTcrWSsw1wykHflrgPUSj8fx+uuvA1hccwwMDKz7d66FmZmZnKq+hKamJlitVsRiMQwODgIALrjgAqjV6lo0syTefvtt+gDgyiuvZLW/bzKZxGuvvVb0ZwqFAjabjXURqePj4zh8+DAAwGw2w2q1LvlaZgowSZvmqGuqusjixDAOmksvvRT/+7//CwC47LLL6Imz3jh48CB27dpV0mubm5vR09ODa665BhdddBF6e3trfhrl8XjgcrkAANu2bdvw5uHz8/M4cOAAAKCjowNbt26tcYuWZzXCVzEWFhZw9uzZHJFBIBDQBtSr6X/5whcRMepV+FqO2dlZDA4O0qebwOI91ul0MJlM3OJnCeLxOBwOB+0fQlCpVFCr1Tn9p1Thi9lnypkiziaSySTti8V8tuVyOWv8xGohhmWzWczPzxekV5cigIlEIiiVypyIQT6fD9f4LO75v+eQSGcQnF5AKs0YSymgrVGEZokQH97ajs/t6q7g1dWObDaLUCiEoaGhHK89Ho8Hg8EAvV5f92NcfpRpJBIpyVcwvyJoU1MTHSmSzWZpMZFEdBK6urpgNpvpNGeXy4V9+/YVZAP09fVh//79eP/731+mK10d+VFizIiwcolic3Nz+NOf/gQA6OzsxPbt29ff8HUwNTUFu92OqampnO8TgRMABgYG0N7eXovmlcSbb76JWCwGHo+HK6+8stbNWZb5+Xk6I6alpYU++GLS2toKq9XKirkNAEZGRnD8+HEAQE9PD4xGY9HXMZ8dTgzbMHBiGEf1OXz4MHbu3En/+/jx4+jr66thi9bO/Pw85HJ5zuJcpVJhx44d2LFjBwYGBtDX14cLLrgA8/PzOO+883DgwAHWbOYCgQDsdjsA4LzzzkNXV1eNW1RZEokE3nzzTQCLJ7ps6nfrFb6YP8//IlWymKHgTU1N6O3tpT3tmKxX+MoXMNgsfC1FNpvF2NgYBgcHczZRIpEINpuN9R4YtSKTySAUCsHlcpW0+SRQFFXQb9ZSFKSemZubK+q70t7eDpvNVlM/sUqLYevxFRSLxeDxeAUptXK5HDabDa2trTnf/7djw/jN0RAy2SyiCynEUxnwKQpNEgFEfB70Sgnu/UgPpKKNFRWWTzqdps3imXODSCSC2WyGWq2ui+eP+MMxo75KEduJryCzuqNYLF7x/y0nJnZ3d9PR1wBw7Ngx7Nmzp+DA94orrsC+ffvQ39+/yqstD0uJYvkeoWuZ42ZmZujDbo1Gg23btpWv4Wskm81ifHwcDoejQJgBgK1bt6K7m73i9xtvvIH5+XmIRCJcccUVtW7OsjA/f61Wi61btyIcDhcVkdva2mC1Wqvuq5eP3+/H6dOnAQDnn38+tFpt0dcR/z3iyycQCGoe1MCxbqq6kOekUw4AwDPPPEP/fefOnawSJFaLRCLBTTfdRAtgAwMD0Gq1BZ5nzc3N9Ak3m9hMhvIAe653NcJXOTy+9Ho9Ojs7c6J2otEoDh06BLVaDZ1Oh/n5+ZyUtc0kfBWDoii0t7dDqVTC4/HQVdkSiQROnTqFQCBQteqJbCWTydBVcJkm5aUcfOX3m8bGxrrYeFeSpfzEwuEwxsfHN5SfWCKRoCN2VjPmiMXigjRZIjzMzs7C4XDQaVEzMzM4cuQIveEi/l8f71dDKRPhN8dC4DHGKgGfwv+xKPHZizQbXggDFudDo9FIm+wHAgG60unZs2dpk32VSsWaMT2bzeaMOZFIpKQxJz+9WqFQQCKRrOm6KIqCWq1GR0cH/H4/3G43UqkUnS4eDAZhMBig0+nQ39+Pl19+Ga+99hr27NmDd999FwDwhz/8AX/4wx9w9dVX4957710yEqVSMNcNTKN9sn7IZDJr9hOrlWfYclAUhba2NqhUKtoflCmenz59Gv+PvTOPbqu68/hXmyXZluV93yRrcwghkBDCkjQpEEqZ0jIHmDPDtNCWtjADc6DQ9rQlJCGh04XSNplu00I5LaSd0k47MFNKoClrIHtIINYueXe8y5I3bW/+0Lmv7+lJ1rOs5Ul+n3N0wIosPz9fvXfv935/39/U1BQMBoMgO0kTsVoo53Mp4sP+JRIJGhoaUF9fj+HhYTidTvrcj42NYWxsjG4gk68oiuU2KBDK9VCk8BCdYSIAAL1eD4/HAwDYs2cPp5tksRGJRLB27VpYrVaUl5djYGBAMIu+sbExnDt3DkDs79LZ2ZnfA8oyFEXRO7QajYblUMwW2XJ8pZPxBcSCuu12+7JcO4DwuvPlmvn5edjtdo5rp7W1FQaDYVntuAuRaDSK2dlZTj5cqvu6RCKBXC7nOHy0Wi3MZnNCZ6LI3/LEDjDX5wAAIABJREFUXC4XSyTKV57YSpxhoVCI4/jic/0pKSnhXHP4ZFpNTk7CbrezcrEkEglaW1uh1+vpIPMoRaFnOIDx2SDUCiksjeWoUBX353gpkjkTq6qqYDQac/5ZZZbJMkVTptiSCJIPx3R9ZdNlSsqc+/r6WMemVCpph51EIkE0GsXzzz+PPXv2oLe3l36dQqHA3Xffja985St5i6pgCmIAWHOL5Ypik5OTdDarTqeD2WzO3oGnSTQaxbFjx+gcLoJEIkFbW5vg8vNefvllUBQFjUaDq6++Ot+HsyRjY2M4efIkAMBgMNANwgjRaBRDQ0NwOp2c+0Bzc3NeBEm73U5Hxlx++eVJM82YnVmlUikUCoVg1nMiaSOWSYrklvHxcdbN/uWXX8aOHTtw7tw5/Od//ideeeUV9Pf3Qy6Xo7GxEVdffTX+4R/+ATfccEMej3plRKNRXHnllfTkYGxsTDA32ampKZw+fRoA0N7ezrlpFSNvvPEGwuEwSktLeee98UVowtfCwgLL7cXXfbHaha+lIN0TmbvKCoWCbt1eDOeIhJTHC1+pFqFALDSfOW5IVtPs7CzsdjunuQiZ/Arlmig0kjV1yHWeGF8xjOTDMB98OoLGX3O0Wm3K7rdLQUrZnE4nFhcXWT9Hp9Ohvb1dXMQkYXp6Gna7HT6fj/V8Y2MjDAZD1sp1mZ0dl1Mmy7zmaLValJeX58VBs7CwAJfLxWpaQ46P6bBbXFzEU089hW9961us66FGo8GDDz6I++67L29dTDMhijHFkFRh5PnkzJkzGBkZARC7LjDdQTKZDB0dHayS13wRjUZx6NAhADFh+oorrsjr8aRieHiYdkBaLJakm+zRaBT9/f2cDR+ycdHV1cWrbDkTfPDBB+jv7wcAXHnllUmFf1EMK0pEMUwktxw+fJgVHOpyufDMM8/gG9/4xpJla9u2bcNvfvMbNDQ05OIwMwpFUbjhhhvwyiuvAIgFq9bW1ub5qGL4/X4cP34cQCzbQYg7eJnm7bffxuLiIpRK5Yp22IpF+CJlEkxWi9spXaLRKPr6+uB2u1nXLY1GA4vFgsrKyjwe3fKgKApzc3OcRSgf4au0tJQjfKUqMUgkJooCRWqWyhMzGo1Z30lPJIZFIhFOyRqfrCaZTEaXyRLnTrola6mIRCKsMmeCWq2G0WhEfX19UQjYmYaiKDrnh9lBkTQSWalIQNyCTMcXU7RMBimTZeZ8Ca1sOBAIwOFwcIT/yspKGI1G+v4wMzOD73//+zhw4ADretjQ0ICvf/3r+NSnPpWXezCZDzBFsWSCWKLPDjOM3GQyQa/X5+jIl8fJkyfpkuqtW7dicHAQXq+XdU9XKBTQ6XTo6OjIW4liMBjE4cOHAcQyiTdu3JiX4+BLX18fzp8/D2Dp/C1CJBKhu1EzxW+SwafX67O+Wfbee+/RESJbt25Nej8VxbCiRBTDRHLL888/j9tvv53++v7778eBAwfor41GI1pbWzE1NYVz586xbkodHR04evRowQliFEXh9ttvx+9+9zsAsUDVrq6uPB9VjLm5Obz77rsACqO7YiZ49913MTc3B7lcjq1bt/L6HqEJX4mCptNxfGk0GqjVakxNTcFqtbIWsgqFAiaTCU1NTeJiMQkLCwtwOBz07jJBqG6nlXTnU6vVHLdguotQsiMc39ShtLQUZrNZMJsFQiQ+TwyIXVeIiyFbwgARwxoaGvC///u/vPPhEnUELSsry/k1JZlrp7KyEiaTSSzXTUI0GsXAwADcbjdroUq6Ere1taW8f8W7BX0+H0tgS0Z8maxWq6VLXAuBqakpOBwOjsOuvr4eBoOBdn8NDw/j3//93/HMM8+wrsVGoxG7d+/Gxz/+8bzcg8lchznniRfFmF8ThoaGcPbsWQCxxkwdHR05PnJ+HDt2DJOTkwCA66+/HjKZDIuLi3C5XOjv72dd20jJa2tra87FD6F150yFx+OBzWYDAKxfvx6NjY28vi8UCtGiGPNzkAuX3okTJ2jx+sMf/nDS60w0GkU0GqXFsJKSEnF+XPiIYphIbvnZz36Gz3/+85znr7jiCvzsZz9jdZ25cOECvvjFL+LgwYP0cx/+8Ifxl7/8JSfHmkk+97nP0Y0D/vrXv2LDhg15PqIYQu6umC2OHz9OZ8ls376dcyMrduEr2XEncztVVlau+qD4VBAxkSlQLGexmA0oikpYdsQUn5KxVEh5JgkGg3A6nRgcHGQ9X1tbC5PJlLdSIaFDURSduZKNPLFEZbK33norJiYmUFNTg6eeeirh9zGzmoTaGMHv98Nut9OLYEK2SwALnWS5WGq1GgaDAQ0NDXQuFnELEtdXfAe5RMhksoSdHQt9oUkcdszQcCD2WWlpaWG5Xux2O/bs2YM//vGPrPe4/PLLsW/fPlxzzTU5PXZCos6TUqmUDtxnzm8A/p358s0777xDC5U33HADa6zNzc3B6XRyxPPS0lIYjcacdpOO7864du3anPzcdGHmb23cuHHZm1vBYJCOBmBea4iDvKOjI+ObPsyxsGPHjqT3LCKGyWQySCQSUQwrDsRukiK5JZENft26dTh8+DDHltrQ0IDnnnsOUqkUzz77LIBYmeUrr7yC66+/PifHmymYZVPxu4T5hHlD4bNILgaYVvdwOAyZTJazro6pyITwRVwYyy07kkql6OzsRGNjI2w2G12ONT09jaNHj9KhskIrSRECJMdjYGAALpcL4XAY4XAYdrsdg4ODsFgsqK6uztrPJ8JXfJksn7ydeOFLo9HkzH1RUlKCNWvWoLW1FTabjQ4zHh8fx8TEBNrb26HX68UxFwdZSDc0NLDyxILBIM6fP4/+/n6YTCZeYy7eLejz+eD3+3m5BUlWExEw8pXVtBw0Gg0uu+wyjI+Pw2630wLFyMgIRkdHi6pjZyZRKBQwGo1oa2uD0+mkS4rm5+dx7tw5WK1WlJSUYH5+PmWJdbxbUKvVorS0tCgXlaSTXl1dHQYHB+F2uxEMBkFRFAYGBjA8PIyOjg50dHTAZDLhueeew7Fjx/DII4/QAsjx48dxww034MYbb8SePXty7uBP1HkyEomw/l7ka6lUynH1CBVynETYYFJaWop169ZBp9OxytPn5ubw3nvvwe12w2Qy5aTTanyWmdBZbmfGeEpKSmA2m9HR0QG320279MLhMBwOB7xeL/R6Pdrb2zN2PpjdOpczby/Ga5ZIdhFnFgLl2WefxSc/+cmMv+8vfvEL3HXXXaznEu30/+AHP1gy72T//v347//+b3rS+vTTTxecGMYswYjvXpNPiNU3Go0WvRhGJujMG10wGOTcrPMlfPn9fl6ZKZkQvpZCpVLhkksuwcTEBKxWK+bm5kBRFPr6+jAyMgKTyZTTXdFCQSqVor29HY2NjSy30+zsLE6ePImGhgaYTKaMBMKmGzStVCo5Y0cIpZwVFRXYuHEj3fJ+cXERFEWht7cXw8PDeemeWAjI5XIYjUa0tLSwFmx+vx8nT57k5IlRFEVfd5hZTXyu/eTcy+VybNy4kVc+nFCRSCSoq6tDTU0N3bEzFAohGo3C6/ViaGiI7gIoJFdbPmE6TZVKJTQaDatbZygUSngNkkgkCUXT1XZeSf5RU1MT+vr66GyqSCRCL/j1ej1aW1uxadMmvPzyy/jzn/+MnTt3oqenBwDw0ksv4c9//jPuuOMOPPLII2hra8vp75BIFGO6wwBw5pJCFm+YAkgyiHhOmkoQRym5xlZVVcFkMmW1kQlTXCyEa+5KxTCCSqXCmjVroNPp4HK5MDg4CIqiEAqFYLPZ4PV6M1a6So55OQ54cT4ikg7C/wSLZJ3y8nLW1y0tLdi2bduS31NVVYWbbroJzz//PADg9ddfz9bhZQ2mM2xmZiaPR8KFOKP4OAEKBabTK97xxbxpXrhwYckOgMUufC1FTU0NrrzySvT29sLtdiMajSIYDOL999+n3U7xn2eRv7mdWlpaYLVa6c/7hQsXMDY2Br1ej46ODt5jKF23YHzejkajyVlnpnSQSCRoampCfX09q0SCuJ0GBgZgNpsLqjlBrigtLcUll1yCyclJ2O12WqQYHR3F6OgoKisrIZPJ4Pf7eY2dRGWyxC0ok8ly1sEy2xCBorGxER6PB319fbTDrqenB319fbT7Y7URDAZZgqnP5+MluBO0Wi10Oh2qq6sFLYjkGlI+39raCrfbjYGBAdYCv6+vjy47vfHGG7Fjxw4cPHgQe/fupcWAZ599Fs8//zzuvfdePPzwwzn/PDLnRMy5FrmnMcUQIQsGZM7LR7CprKzE5ZdfjomJCdjtdvq+PjU1haNHj6Kurg4mkykrcRKZEpdyRaaPV61WY+3atdDpdCxX6uLiIs6fPw+Px7PizQtybRObRolkG+F/glcpZWVlaGlpycr7xlNXV8f6+rLLLuP1Xpdddhkthg0PD2NhYUHQC7t4hFomCcRuVqFQqGCdYUsJX0zI5I05brxeL8bHx2EwGKDRaDIufJGyteUIX8zykVwJX8mQSqXQ6XR06STpvDQ1NYV3331XLGNbAq1Wi02bNmFoaAgOh4N2nhDXmNls5lwPg8EgR/jiM3YUCgVHvFAqlYJeiCRDJpPBYDCgpaUFdruddjvNzMzg+PHjaGpqgsFgKKjrfy4IhUKgKAr19fUAwHLtLOVGjhdNheIWzCWkWUhrayucTicuXLgAIObqPH36NGpqamAymYpW/A+HwyzRa2ZmBgsLCym/j+k0DYVCGB4epheVPp8P586dQ2dnZ1478QmVkpISWCwWtLe3s8YcKTvt7e2F0WhEdXU1PvnJT+LWW2/FT37yEzzxxBOYnp7G4uIivv/97+OZZ57Bww8/jHvuuSfneXfk/hLvNGWOHVJ5kMpxnw+YZZJ8kEgkqK2tRU1NDS5cuMAqsx4bG8PY2Biampoy3t23UJx2BObxZlJcKisrwyWXXAK9Xs/5zLz//vvweDwwGAzLrlyIRCJ05UiquWyess9FighxtSRQbrnlFtxyyy05+VkWi4X1Nd8cnZqaGtbXU1NTaGpqythxZRumGCakMkngbxf/cDhMW96FynKFr0S0tbUhFArRN9JAIIAzZ86gtbUVRqNxWcLOSoSv+A5r+Ra+lkKtVmP9+vUYGxuDzWbD/Pw8XcY2MjICs9mM+vp6wR5/viDZTvX19XSHKiA2eTtz5gwqKipQVVVFZzbxWYDGN0YolqDpeNRqNV2ua7PZ6E6nw8PDGB0dpYN0V1u5FRC7VpPrDVmE8unOB8QWU3V1dWhoaCho0TQbkJyg6elp2Gw22v0xMTGBd955By0tLejq6iposTASiXCyBZldhJMRL7hrtVrOeTAYDOjt7WWVALpcLgwMDNDODXGssSFjzufzweFwYGpqCkBMYDp58iRqampgNBqh0Wjw4IMP4s4778R3v/td/PjHP8bi4iKmp6fxyCOP4Mc//jEeeeQR3HHHHVkTTKLRKGZnZ+Hz+Xg1R5BIJFCr1SwxTCiiGLMhwHLPl0QiQWNjI+rr6+kya3LvHh4exsjICNra2qDX6zOyaVOoZZLpbCbzQaPR4NJLL6U/M6QL5OzsLJ3nZjQaUVdXx2uspSPeCWUcixQewv8Ei2SdxsZGVFdX03X3fIQDAJxFYqG5ApiZYUIskyREIhHB3GwzIXwx/508SkpKsHbtWrS1taGnp4deCAwMDGB0dBRms5nujMWECF/MhUQxCl9LUVdXh+rqani9Xni9XkSjUSwuLuLs2bOorq6GxWIROwAmgYiFTPcEGUfJIB3WimHspEtNTQ02b97Mak4QiURoh53JZOI96S1EIpEIAoEAy3nBR7wgY0etVtPd/cj7jYyMIBqNory8vGjP20qorKzEpk2bMDIyAqfTSc8/BgcHMTIyAp1Ol9Hw5mxBxIv4zo6p3A0ymYy+Z5GcLz7XHZlMBr1ej5aWFrjdbrqsj5Qz9fX1wWg0rsqy01RotVps2LABExMTcDgctMg0MTGBiYkJNDU1oaurC9XV1Xj88cdx7733Yt++fXj22WdBURQGBwdx7733Yv/+/di7dy8+8pGPrLij7Pz8PD1uSGON5TRHaGhogEwmo+dvTNc9kN8SykyE/JMy6+bmZroTN3Ho9vX1YWBgAB0dHdDr9StySBVqmaRcLs/q31ir1WLjxo2YnJxkCcl+vx+nTp2CVquFyWTimCniYZZ/8zm/4j1TZCUI/xMskhM+9KEP4Q9/+AMAwOPx8Poe5utKSkoKLjeGmeng8/kE5cBiXvzzJYZlS/haqtSxqqoKmzdv5mRinTt3DgMDA2hsbGSVra024SsZMpkMXV1daGpqgs1mo3flJicn8c4779CTP6EvFLMF07VDHqSUIhVlZWWoqamhx06xdlhbLszmBMRpAsQcdu+99x6qq6thNpsLvowtGo3SwhV58BEv4rvzVVRUoKysjDV2EuWJjY2NoaOjQ+yemABmhl1fXx88Hg/tdnI6nRgYGEirJCdbUBSFubk5Tpl1KvFCIpFwOjvGj53lolQq0d3djfb2djgcDrq8PhAI4PTp06iurs5avlIhwyzDGx4e5jiOLly4gLa2Nuh0OrS2tuInP/kJ7r//fuzatQsvvfQSAKCnpwe33norrr76auzbtw+bNm3i9bMTNdZIlRFHmiMQwZSMHalUyprLMZsXMYUxMj/LB5ksPZTJZNDpdGhra4PH46GdkdFoFB6Ph26OkG65cKGWSebqnlJdXY1NmzZx8tx8Ph+OHz+O6upqGI3GpNl66ZZ1CuG6L1J4SPJUaysW+AoMZvfKkpISDA0NpVTuL774Yrz//vsAgC1btuCNN97I+nFmkoGBAbrzzw033IDf/va3grmQnj9/HiMjIwCAK664IuvOnuUIX0uRyXD78fFxeL1e3qIFwBW+NBrNqhMvKIqiSyeZ7k2VSkVnYhXz+Ui35EgqlaK8vBwURbGynQAUjbCTTfx+P2w2G70TDMSuB6Q0pRBCcCmKol07zFJrPuJFeXk5R7zgc92jKApDQ0NwOp2sIP2SkhJ0dXUt2UzEaDRiaGgIzc3NcDgcy/tli4BgMMgSYgkVFRVZ7yaXCGZHWSJg8Mn9jO/sqNFosl5qTJwb8S5YMf9vaSKRCPr7++HxeDjuoM7OTpY78c0338TOnTtx/Phx1nt8/OMfx+7du2Eymejn0s2IU6vV9NjRarXQaDQpxZl4QYy5oRk/d8sls7OzePPNNwEAzc3NWLduXcbee3FxEW63m27IQVAqlWl1PySuSgC48sorWZUmQuTQoUOIRqPQaDS4+uqrc/qzKYrC6Ogoy11JqKurg8Fg4Jy/sbExnDx5EgDQ1dUFo9GY9L2ZpbUymUzcRCoOcnrxEcUwEQCxhYxOp8PExAQA4Ktf/Sq+8Y1vJH39iy++iJtvvpn++oknnsBDDz2U9ePMJIFAgN4F3bx5M15++WXBiAR2u52e4G/YsCGjN1qhCV/pBpRLpVJ68bBaha+liEQi9I4o829bW1sLs9mc0TDZfEHK1eJdO6kgwle8a4eM3dnZWdhsNvp6CMTGu9icYGnIpNdut7MWcgqFgg7gF8rnM77kiAhffDr4xo+d8vLyFbsDwuEw3bGT+XktLy+H2WxOmOW52sUwQiAQgN1uZ31egVgZdKaDswmhUIglXPh8Pt5dQZn3rYqKirxdTyiKwoULF+BwODgB6+3t7aI7cQlCoRC8Xi/6+vpYYjkRV0gWG0VReOGFF7Br1y7WZ1Qmk+HWW2/FnXfeCYVCwTsjjun4YnaUTYdkohi5RpM5Xa6u2TMzMzhy5AiAWI7sRRddlPGfMT8/T5fzM1Gr1TAajWhqauL1+549exZDQ0MAgGuuuUbQG2XRaBSHDh0CEKu+uOKKK/JyHBRFYXh4GE6nk7PJ3dDQAKPRSJ/H4eFhvPfeewBiudadnZ1J3zMSiUAikdBCWCE49URSIophIvnhe9/7Hr74xS8CiO1yPffcc7j99ts5rzt79iyuu+462mZfU1MDr9cr6JtBIsLhMCoqKjA/P481a9bgyJEjggl+drlc6O3tBQBccsklKV16ySgW4Yvc5OJf29jYCJPJVNDhydlmdnYWVquVzgQEYpPczs5OdHZ2FszEId1ytXRdO8kcdiUlJcuaNK9GIpEIK8OOoNFoYDabc+7YoSiK5dohDz6undLSUpZwodFosioQzM/Pszp2EhIJO6IYxmZ8fJzjPiAitk6nS9udGIlEOK4dPs0RmF1BMyFeZItoNIr+/n643W5OeZJer1+2a2Y1sbCwAJfLRQsjhLKyMhiNRtTU1GB+fh4TExP41a9+hZ/85Cese7FSqcTNN9+MW265hfXZZmZTkrGTraYsRBAj99L4DLFchexPTU3h6NGjAIDOzk5Oc69MEggE4HA46KZNBI1Gwyvo/fTp0/T3btu2TdBOysXFRfz1r38FEHNibdiwIa/HE41GaTd0vPuxubkZBoMB4+PjOH/+PABg7dq1aG1tTfheohhWtIhimEh+CIVCuOGGG+iLJhDrannbbbehpaUFU1NTeOWVV/Dzn/+cFiUkEglefPFF3HTTTfk67LQJh8Noa2vDyMgIWltb8f777wtmwtfb2wuXywUgdiOor69P+T1CF778fj8v2z9zEkhKHonjy+/3w2q1srp/yuVyGAwGtLa2iuJEEohjx2azsQRFtVpNl04KCWaHrHSEr/hS2ZV8rpMJO5WVlTCbzaioqEj7vYud+fn5hAuOhoYGmEymrC0gmB1lyYOvaye+OUK+yjunpqZgs9lYJbsSiYSVJyaKYVzIQsvlcrH+5nyFHSK6x197UhHfUZZ0diyke1IoFILb7UZ/fz/rWltaWrqsTnCrESKukLzOZCwsLOCFF17AH/7wB5agqtVqcffdd+PTn/406urqVpwRlw75FsX4lsZlkunpadjtdpZACcTu7yaTKaEjFwCOHz9OO1Gvu+46QTsomeWnTU1NuOSSS/J8RDGYIjxzXkoyE0kJ96WXXoqGhoaE70HEMKlUCqlUKophxYMohonkj+npadx444149913U762pKQEP/vZz/CpT30qB0eWeSKRCC666CLYbDZoNBr09/cLRgwbHByEzWYDELMINzc3s/692IQvpniRqtSRZOw4HA5WmGxFRQW6u7tFcWIJkpVi1dXVwWw2Q61W5/yYiPDFzPnik9MEZKdcLRnJHDutra0wGAwFkYmVLxIJO5lyJ5JyNaZzh4/blLh2mCVrQnPtpMoT2759uyiGJSEcDsPr9aK3t5d1LWEKOwBYGXGkO99ymiOQ8VNMJfrJROzKykoYjcaCa5aULdK99pSWliISieDgwYP4zW9+w5rHdHZ24tFHH8Vtt92Wt/lovkSxkZERnDlzBgBgMpmg1+sz+v5LMT4+zgp6J9TV1cFoNHLmle+88w58Ph+AWOawkD/7Pp8P77zzDoDslZ+uhEgkwur8Gc9yxDCFQiGYdZzIihDFMJH8EolE8O1vfxv79++nQ9yZSKVSfPSjH8Xjjz+e0YDLXBONRrF582Y63HR8fFwwi6ELFy7ggw8+AAA63FOIwhcRMLIlfKU6DofDwSlPaGtrg8FgEPROXb4JBAKwWq2ssHOpVAqdTofOzs6sTSbSDSgH/hYyzXR85WMHcGJiAlarlZV5IcRMLKFBURQGBwfhdDpZE16VSgWTyYT6+vqU544ZMk0efMrVFAoFx/El5LKWeIiIHZ9PdPfdd2N8fFwUw5aAZATFz2Xkcjmi0Siv5gjJuvMVOz6fD3a7neXEBmLOToPBUBS5k3yJRqPw+/0sxyCfnK94SBkYiXbweDx47LHH8Nvf/pb1unXr1mHv3r247rrrMnL8y4XML5miWDJBLFP3vMHBQZw7dw4AsGbNGrS3t2fkffnCzNCL/9uSxhKkmdVbb72FQCAAmUyG66+/PqfHuVwmJibodY5Op4PZbM7zESWGbGCQLsEEsnGWqNRdFMOKFlEMExEGkUgEb7/9NhwOB0ZHR1FWVobW1lZs3boVtbW1+T68FUNRFHbs2IFXX30VQGxSkm42V6YgE4+JiQm6U2dbWxtnUlAIwhdT9MrmzvnU1BR6enpYk5eSkhKYzWY0NDSI4kQSKIrCyMgI7HY7y3VSWloKi8Wy4s8CRVGYm5vjCF98AspzndO0XKLRKL2Tyfx9NBoNLBaL6JxYgmSlWFVVVTCbzXRTk3S7gjLLrIl4ka2snVwT79j57Gc/i4mJCdTV1eH8+fOrSpxIBbNU1ufzwefzLSsjjtnZcTWX3ZDsRKfTyfr8kU6xOp1OMJuImSJ+04avY1Amk3Ga+oyPj8Pj8bDusTKZDB0dHejo6KDva2fOnMHOnTtx+PBh1ntu374de/fuxaWXXpr5X5QHiSoQ4kUx5tcroa+vj86Juvjii9HS0rKi90uXZJlWEokEra2t6OrqwrvvvouFhQUolUps3749L8fJlwsXLuD06dMAcu+4S4dgMIijR49y7vekY2tnZyf9uSEbGkQMKykpKYp7vYgohomI5ASKonDbbbfh97//PYDYZCSXN4mlSh1nZmboHbLS0lKYzWZ6RyqeTAtfzAWo0ISvZESjUfT29sLtdrN2+mtqamCxWMRF4hKEw2G4XC6OOFFfXw+z2czLQUM688ULX3wWn6Q1PHMBUSglhwsLC3A4HBzXSVNTE4xGo9jYYQkCgQBsNhsnq4Vc5+bm5lZ9uVoySNnp7bffjomJCdTU1ODpp59etd1OQ6EQx7XD595FkEgkaGxshMFgKCjHYC6JRqMYHByE2+1mCTtyuRw6nQ5tbW0FKRpSFIXFxUXW2OHTXIPkGjGvPclyvsLhMPr6+uD1elmbJ4ly7P7yl79g586ddCc9wm233YZdu3ZBp9Nl4LdePok6T0qlUlAUxZl7povH46HjQdavX4/GxsaMHHu6RCIR9Pf3w+VysdzM5PemKAqlpaXYunVrHo8yNfkE5tnCAAAgAElEQVR23KUDM5ONdGUlkM9Ne3s7JBKJKIYVJ6IYJiKSK+6++2489dRTAIDXXnsNl112WVZ+znIzvoLBII4fP87KbGhtbUVbWxvkcvmqFr6WYn5+HlarlRVim4vyv2IgUXMCqVQKvV6Pjo4O+tytpDOfkALKM8nU1BSsVisraFsul0Ov16OtrU0cdwyYrgufz4fJyUlOm/VEMBef5LFaytUSQVEUurq6cOHCBdTU1ND3MZInVqwlu/GOQZ/Px2v8MEtlNRoNAoEA+vr6WNetkpISGAwGNDc3F+W5ywTJsthUKhUMBgMaGxsFfe5IzhcRv3w+H6/mGqRMn+kYTGfe5Xa7MTAwwJr7qdVqGAwG2skejUbxu9/9Dnv27IHX66Vfp1AocPfdd+MrX/lK3preJBLFmKWSKxHFHA4H3Thqw4YNgmnsk6x8D4h1A92yZYugNyB6e3vR09MDIFZ+G59BLESYmWxbt26F2+3G4OAg63OjVCqh0+nQ3NwMhUIBiUQiimHFgyiGiYjkioceeghPPvkkAOB//ud/MmJ3zlS4vc/ng8PhYIlUarUa3d3dyyphCwaDnHKjYhC+kkHKOmw2G+v3LC0tRXd3d9LuQCKxczc8PAyHw8FaICiVSlRVVdELiUQhp/EolUqO8FVs5TRMotEoBgYG4HK5WAvssrIyWCyWVTnuEpXKzszM8MqIA2KCYnNzMxobG1fcFbQYId0k6+vr8fOf/5x1XsvLy2E2mwt63KXbVZbcu5g5X4lKZYPBIDweD8cVq9FoluwkJxJzxbpcLk5mp5DOHVM4JWOIj3CqVCpZYyfTbuW5uTk4nU5Og4KKigoYjUb63AWDQfz85z/Ht771LdYGn0ajwQMPPID77rsP5eXlGTuu5bCUKJZunpjVaqXFv02bNgliDDEJBoNwuVzo6+tjXS/IBoRQN75cLhedKXnZZZfx6k6fb9544w3Mzc1BoVDg2muvBRBrduJ0OjE8PMx6rUqlQnd3NxoaGkQ3fvEgimEiIrli7969ePTRRwEAv/zlL/GJT3xiWd+f7a6OFEXB4/HA6/Wy3rOpqQkmk4kjLqw24WspwuEw3G43Z+LS2NgIk8kk3jQTQHJ2pqamcOHCBd6lRqQzH/OxWs9vMBiE0+nE4OAg6/mGhgaYTKaiLcNaiWOQ5DSVlpbC5/PR5RGE+vp6mEymvHQ7FTJEDGtubsbZs2cTdgCsq6uDyWQSfKl4vHBKcpr4BNzzLVdLxuzsLBwOB8bGxljP19bWwmQyJY0oEIk5ih0OB+czW1tbC6PRmDOxhjhOmY4vPsKpXC7ndJXN1TWabHgyG9kAsXgHo9FI5yfOzMzgBz/4Afbv388S8+rr6/H1r38dd955Z94c1vGdJ5musOWKYh988AH6+/sBAFdddZVgO4MzuzMyUavVMBqNaGpqEtTc2WazwePxABCmyJiIw4cPIxgMQq1W40Mf+hDr3/x+P0dMXrduHVpaWop6w3WVIYphIiK54sCBA/i3f/s3AMD+/ftx1113JX1ttoWvpXaUAoEAenp6WCVscrkcLS0tkMvlKwq312g0y148FBJ+vx89PT205RqInTuDwYDW1tai/b1TwWyOQB582sIDMfGivr6eXkAolcpVex6T4fP5YLVaWa3aE5WdFirxAeV8HYMqlYoTMh2/kJuenobNZuOcu46ODuh0uoLMJsoGTDGM7PyTPDG/30+/TiKRoL29PWE3rnxAcpqYY4evcMrs7JhuuVoyJicnYbfbOeeutbUVer1eXGgtwcTEBBwOB+vcAUBLSwu6uroyujnCFN6Z4ydVcxYhZgyShkkOh4NVZg/ENj27urroTYDh4WF885vfxC9+8QvW72owGLB792584hOfyNvvEi+KxQfr8xHFzp49SzsNt2zZIlgRem5uDm+88QaA2P0sft5dXl4Ok8mEuro6QcyL3n//fQwMDAAQtshIoCgKhw4dAkVRqKiowFVXXZXwdaTb7eLiIq666irIZDLxGl08iGKYiEiu+NWvfoVPfepTAIB9+/bRwlg+ha9EhEIh+Hw+DAwMYHx8POVuJ2G1CV/JoCgKg4ODcDgcrAVXRUUFuru7BT85WCnpOgbJrrlEIsH09DRrAl5eXg6LxYKqqqpsHnpBQ1EUhoaG4HA4WEKRWq2G2WwWTCZKKtIVTldSKkvOndPp5JTsGo1GwWcT5YJEYhiQvNxZoVDAYDDkPE+MOX6IeMEnp4nZXIOUq2U7m4ecO6fTyRrjJCi+vb294IXsbJHs3CXqnrgcyPhhCl98c76Y5Y7l5eWC/duRc+dyuVj3ZqlUSnftJEK2w+HA7t278cc//pH1Hhs3bsS+ffuwZcuWnB47k5U4xU6fPk27fbZt2yZYF/XMzAyOHDkCAHSWr91u57gjKysrBVEyfObMGbrJz9atWwXvEg6Hw3j11VcBANXV1di0aVPS10YiEYRCISiVSshkMkFs9ohkBFEMExHJFS+++CJuvvlmAMDDDz+Mr371q4IQvuIXnnyEC4lEwlo0pFMuUuwEg0E4HA5Ozkl7ezu6uroEHYLKF9JZjTl+5ufnU34fEb6YD2bOTigUgsPh4JT/iZ0TUxMKheByuTjBybW1tTCbzYKanIbDYc71h8/4YQaUZ7LcKFm5c2VlJcxmc9EL2UuRTAwjJAs7z2aeWDgc5nR25DN+SKk10/WVz13+SCQCr9cLr9fLOnekFKq+vl68tyYhEonQ3RPjGxR0dXWhubk56byI5Hz5fD56DPEZP6Q5C3P8FOL9nHQw9Hg8rHMnl8vR2dmJ9vZ22hl77Ngx7Ny5E2+99RbrPT7ykY9gz549WLt2bU6PnZBoIzneJcb8msDsIHjttdcKVtiYnJzEsWPHAACdnZ2wWCwAYu5Iu93OqkIA/lZuna971YkTJ+jMuQ9/+MOCd08tLCzgtddeAxCLl7j00kuTvjYSiYCiKMjlckilUsGOGZFlI4phIiLZhKIoRCIRRKNRvPXWW3Q4480330x35Fqu8EUmJysVvvx+P6+Jn1QqhVqtxsLCAsutU1ZWhu7ubtGtk4KpqSn09PRgdnaWfk6pVMJsNhfUIidd4UImk9FOweVmxCUq/5PL5ejq6mK1iBfh4vf7YbPZWBkxEokEnZ2deSn/i+/MNzMzw/pMJEMul7MCyuOF02wwOzsLu93OCpIGYmVYBoNB8BP8bJBKDCPMz89nJU8sGo1yOjvyHT9Mx5eQS62TBcUT14dWq83TkQmfZN0Ty8rK6KD4ubk5Vs7X7Owsr5wvpuOrGDMqQ6EQvF4v+vr6WGKsUqmkBUWSK/vyyy9j586dOH/+PP06iUSCf/qnf8LOnTvR1taWj1+BtyhGPvfvvvsuHQWyY8cOwc4lxsbGcPLkSQCxElWDwUD/G0VRGB0dhd1u51wLGxsbYTQac17+WSjnleD3+/H2228DiN3fL7744qSvJesfmUwGmUxWkAK4SEJEMUxEJNtEIhEEg0H8x3/8B7785S/Tz3/mM5/Bzp076eBSQBjCF7PMken4ikQicLvd6O3tZU0gm5ubYTKZxF2SJYhGo+jt7YXb7WZNNmtqamCxWATl1gFiY5Y5dvgKF8zxk6nmCBRFYWBgAE6nk7V7rdFoYLFYUFlZmfZ7FzsUReHChQt01gVBpVLBZDJlTYyNRqMIBAIsxw6fhWc2xs9KGBsbg91uZwVJy+Vy6PV6wXbzyhZ8xTDCSvLESEA5s1zN7/fzGj/xwmm+c5rSwe/3w263Y3JykvV8Y2MjDAaD2NxhCZI1KOBD/PjRarVQq9UFN37SJZkYSwTF2tpaei548OBB7N27l+XeViqVuOeee/Dwww/nrVwvWedJ5v9LpVIcOXIEfr8fUqkUO3bsyMux8mF4eBjvvfceAMBsNkOn03FeQ6I5nE4nq7JDIpHQGzi5KgN96623EAgEIJPJcP311+fkZ66EqakpHD16FADbeZcIUQwrWkQxTEQkF1AUhZdeegk33XQT6/mmpiZ8+9vfxsc+9rGMCF9EuFiO8MV07PApdfT7/Th//jzLraNQKGA2m8VsnRTMz8/DarWyHCdSqRQ6nQ6dnZ15WVyn69hhBgQzF57Z+h2SlZ02NzfDaDSuSrcOX8LhMDweD0fIrq6uhtlsXlEXtmg0SgsXzOtQqvs9szMf8/ojNIEpGo2ir68Pbreb44w1mUyora3N49HljuWKYQC/PDEgtghnOnb8fn/KgHKJRILy8nKW60uI4yddKIrC+Pg4HA4H63oslUppQVFcjMUIBoOs8cO3wQYZP1qttujGz0oIBAJwOBwcZ2y8Q3F+fh4//elP8cQTT7AcyJWVlXjooYdw77335k24TSaKkfnpkSNHMDc3B4VCQVdsCJH+/n588MEHAICLLrpoSecd817FvN4yG8Jke5702muvYWFhAUqlEtu3b8/qz8oEo6OjOHXqFACu844JqfIhJgVRDCsqRDFMRCRXBINBjIyM4LnnnsPjjz/OmuB+7GMfwxNPPJEybDjXwlcyKIpCf38/nE4na9EiVKeTkKAoCmNjY7BarSy3TmlpKbq7u7O6oxpfasTXsSMk4WJ6ehpWq5XlOBE7dvJjdnYWNpuNFb4rkUjQ1tbGK8eOoijMzc1xymWZbsdESCQSlJWVsYQLIQdMJ2JxcRFOp5Mjxgoxiy0bpCOGEZLliZENoFTCFxC7PsZ3dlwNnT6j0SgGBwfhcrlYAg8RFJfKxCpG4nPifD4fr5xTJqRrZ1dXl+hoX4KpqSk4HA5OLlV9fT0MBgNdgjc1NYXvfve7+NGPfsSa0zQ3N+ORRx7BP//zP+ftsxofsk9RFObn53Hq1CmEQiGoVCp86EMfEuy8wev1wmq1AgAuueQSNDU1pfwecr31eDysaytpzJFucwk+vPrqqwiHwygrK8trcwW+DA0N4ezZswCA7u5udHR0JHxdvBgml8tXxf1nlSCKYSIiuYaiKLhcLvzrv/4rDh06RD9fUVGB3bt34+6774ZMJsPY2BiOHDmCEydO4P3338cDDzzAq6tRIsdOtsLtFxYWYLPZMDo6yvr5er0eHR0dq2qSvlyShXVnKiSelKoxRYtAIMBL+GI6LioqKgQnXESjUQwMDMDlcnE6dlosFjFbZwmIGGu321lCeklJCYxGI5qamuh8mIWFBVZGk9/vZ53vZDCFr2ITLnw+H2w2G2uBKJFI6J33Yt0tTkcMiy/Xn56e5nUPIwHlzCYtq120CIVC8Hg8nPtFMTsUmfcwIn4FAoGU36dQKDjC6ejoKNxuN0dQ1Ol0q67keTmQXCqn08kqFycleHq9np6rDAwMYN++fXjuuedYond3dzcee+wx3HjjjTkVncg9jDRIIPcw5rGVlZXhqquuWrLzZD5xOp1wOp0AgMsuuwz19fW8v5fk6MVnwZHmEpke9yRTDgC0Wi2uvPLKjL13tujt7UVPTw8AYN26dWhubk74OiKGSaVSSKVSUQwrLkQxTEQkX0QiETz77LN4+OGHWXb0NWvWYHJykm5PTDhw4ADHIp1L4WspRkdHOU6n8vJydHd3i5lOKfD7/ejp6WEtrpfrdFpJqVq8cFFeXl4wN/nFxUU4HA4MDw+znm9paYHRaFz1C+ilSNbBTqlUQqVSYW5ujlepkVqt5uR8FasgRKAoCiMjI3A4HKxrXrygWEykEsOY5dZEuGAunvlQV1eXl9DnQmJubg5Op5PToKCmpgZGo5GVQVpIEMdOfLlsKtcpcb0zc76SNdhIFhSvVqthMBjQ0NBQdJ/bTEEcivEleDKZDB0dHSy30QcffIDdu3fjT3/6E+s9rr76auzduxdXXHFFVo6RiO/M7qCpxPf29naYTCYA3MxeIWCz2eDxeAAAmzZtSqtyYH5+nu4wzYSMe9IgYaWEw2G8+uqrAGLXo8svv3zF75ltXC4XfT9bSmyMF8MUCoUooBcPohgmIpJrpqencerUKZw8eRInTpzAsWPH4PV6U37fgw8+iJtvvjlnGU3LJRwOw+Vyoa+vj/V8a2srDAaDKEwsAQlAdTgcLOeNVqtFd3c3a4HDDJdmCl+pFg1A8Tp2pqamYLVaWa4BhUIBo9GYsYleMREMBumxMzU1henpaV7jR6lUcoSv1ZzVliyLTavVwmw2F5VDkSmG2Ww2zM7OLrszH+ksSx4LCwvwer1i+V8aTE9Pw263c0rYWlpa0NXVJfiOh4uLiyzh1OfzpXSdMl3LRPxKp1yfiAPxmyharRZGo1HskL0E4XAYfX198Hq9rBI8hUIBvV7P6vL81ltvYefOnTh27BjrPW6++Wbs3r0bZrM57eMgkQ/M8cNHfFepVBzXIAnVB7iCWL7nDh988AH6+/sBAFdddRUqKirSfq9AIACn08nZaC8vL4fRaFxxQ52FhQW89tprAICGhgZceumlab9XrrBarfT664orrkj62RfFsKJGFMNERHLB8PAwHnzwQZw8eZK2PC+FQqFAU1MTampqsG3bNtx8881Yv359QSw8fT4fenp6WJlOJSUlsFgsWeteVywEg0HY7XbOJL2mpgZqtZouGeEjXJSWlnKEr2J27ESjUfT398PlcrEm6VqtFhaLZUWTyEImFAqxcuKWk7EjkUhQU1ODlpYWaLVawS+w88Xc3Bzsdjung12mSp7zCcmJu/jii3HhwgXU1tbi6aef5pUTF9/ZMZFrOVmeWHl5OUwmE2pqarLyexUDpFusw+FgfaZlMhl0Oh3a29sFsdkRDodZ15+ZmRle1yC1Ws1yfGV682ZmZgYOh4PTtVN0KKaGlOANDAywRPB4lx1FUXjhhRewa9culqNUJpPhzjvvxNe+9rWUOVjMrEpmuWOqNaVcLmeNH61Wy5pDk5B98gDAEcWYX+eD9957j54PbtmyJSNj0ufzwW63s7JDgdhcaSXX3EAggLfeegtATJS/+OKLV3ys2ebcuXN0R9Srr746qbM2Go0iGo3SYlhJSYm4likeRDFMRCQXzM3NQaPRJFxAqFQqrF+/Hhs2bMDatWtx7NgxPPvss6zd8s985jN47LHHUFlZWRAX4GTCRG1tLSwWi9gaPgGkTGRmZgajo6MYGxvjJXoBq7NULRkLCwuw2+2cMiISEl/MDsV0S9XkcjktmC4uLmJ0dJQ19jQaDSwWi1jynIKJiQnaNUWQyWTQ6/Vob28X/E4yRVFYXFykxw55hMNhfPazn8XExARqamrw1FNPcb43vrPjcnMG5+fn4XA4OJ9bUZhITSQSQV9fHycwW6VSwWAw5LTLc3yTFuIaTEVJSQnL8ZUr12myrp0kE6urq6sgNiHzRbKy3YqKChiNRrqsLxwO45e//CX27dvHeq1arcb999+PBx54gHbSku6gy3UNEvGdjKHS0lJe4z5Z50nm/0ul0rzMvU+dOkVn8m7fvj2jGysTExMJ3aU1NTWsrqF8mZqawtGjRwEAHR0d6O7uztixZovTp0/T43Hbtm1QqVQJXyeKYUWNKIaJiOSKtWvXwuVy0cLXhg0bsHHjRnR3d7OEC4qicOrUKXzhC1/AyZMn6eebmprwne98B5/4xCcK5iI8Pz8Pq9XKykSTSqUwGAyrOrQ2PpycuehMhVQqRVVVFaqqquhFQzELPOmSSJgopkynRJ1B+YRLk4yd+HJr5vlYWFiAw+HglFMUg9Mp2yRr7qBWq2E2m1FbWyuYsUfKZZniV7KMHaYYdvDgQZZwkUnX6fT0NGw2G2ZmZujnSMdTvV4vXuuWIBgMJswGqqiogMlkynj5H3HsxIunyymXJWMoWc5XrohGoxgaGoLL5eJkYgnJZSdUfD4fHA4HpqamWM/HZ9nNzs7ihz/8IZ588klW9UBlZSXuvPNOXHvttbyd7/GuwZXOJ5OJYkxhLNei2LFjx2jn4vXXX5/xMUgaJDgcDs78obGxEQaDAeXl5bzea2xsjF6zdHV1wWg0ZvRYswHz/F533XVJ72NEDJPJZJBIJKIYVlyIYpiISK4YHBxEQ0MD70VDMBjE/v37sXv3btaC/u/+7u/wxBNP8A5XzzfkZmu1WlmTTI1Gg+7u7qLK1UkEEb7ihQs+4eQqlQplZWWYn59nOXykUil0Oh06OztXraDIh2g0it7eXrjdbtYEu7KyEhaLpWDCplfSIIE02GBm7PC9biTKYpPL5dDr9atazOZDMBiE0+mkSzAINTU1MJvNOXc6MUvVllMuW1JSAq1Wi1tuuQWjo6PL6iaZLhRFYXh4GA6Hg3XPUCgU6OrqQktLizj2liAQCCQsg6qvr4fRaERpaWla70s2cJjiF9+cL6ZwkY8mP3whjUV6e3tZLjulUgmDwVAUGynZgqIoTExMJBRWmpqaoNfrEY1G4fP50Nvbix//+Md44YUXWGOovr4ed9xxB7Zs2UJ/xpmuQTKOsimKLyWK5TpP7MiRI/TGwA033JC1n0lRFIaGhjgl18QhaTAYkrqmCMPDw3jvvfcAAGazGTqdLivHmknI+ZVIJNixY0fS8xsvhokbgkWFKIaJiAgZiqLgcrlw33330S2LgdhO765du/C5z32uYHYrQ6EQnE4nZ9e6vb0dXV1dRVPWl8jxxUf4YoaTEwGD3HCJoGiz2Vjd60pLS9Hd3Z1Wh6HVxMLCAmw2G11uAPzNbSK0sRefj8K3QQLpDMosM1puqVoiSBcxp9PJWrSUlZXBYrGIYy8Ffr8fVqsV09PT9HPZdjoxXYNkDPEpVSPlsswxRBZAqbpJZgMxT2xlkDIopjDBd+yRznzMMcS89ySD6dgp5CYti4uLcLlcHDFbHHupIWK20+lMOWYuXLiAgwcP4vXXX2c9bzab8dWvfhU33XQT1Gp1XgRIIogx88TiyyezLYq9+eabmJ2dhVwux3XXXZe1n0NgRpwwNyKkUina29uh1+uTlg339/fjgw8+AABcdNFFaGtry/rxrpTXX38d8/PzUCgUuPbaa5O+jimGkTJJkaJBFMNERAqBSCSCgwcP4qGHHmKFNG/evBn79+/HmjVrCma3cnp6Gj09PawJulKppAP2CwnSEYv5SNXKG/jbTidzwZBq1w34W8fO/v5+liuoqakJJpNJvEGnYHx8HDabjeWyKykpgclkymmuDoG4BuPLjJiOhGTkujNoMqdTQ0MDjEajmAO4BMmCzknnxJaWlrTHHukuyxxDfFyD8eWyWq12yUVnPsQwQrI8sdraWphMJjFPbAlIp+L4xS2z+x+AtDrzEdcgU/wqtjLWQCAAh8PBinoAuOV/qx3iPGVmffERT0nW4ODgIH7wgx/Q3QgJ27Ztw759+/LamTBeFFuq+2Sm+etf/4rFxUWoVCps27Yt4++fjHA4jN7eXng8HtYmmFwuR2dnJzo7OzmbiB6PBzabDQCwfv16NDY25ux40+Uvf/kLQqEQSktLsXXr1qSvE8WwokYUw0RECgWKojA2NoYvfelL+OUvf0k/r1Ao8NBDD+Hhhx8umAVpsvK1+vp6mM1mXsJQriH5OswHn8meQqHgZDQplcoVTZz8fj96enpYwadyuRxGo3FFC+vVQDQahdfrhcfjYY29qqoqWCwW3vkY6ZCua1BIDRJ8Ph+sVisr04mU7XZ0dBSkCyRXkBIsr9ebVoMCZpMNpmswlXhKStXiy2WX4xrMpxhGEPPE0oe47LxeL0solUqlrG56yZDJZKxSx0zcxwqJyclJ2O12Vs4VADQ3N6Orq0uQc5ZsEY1GEQgEWOIpH+dpPCUlJTAYDGhubqbH0eHDh7Fz506cOXOG9dpbb70Vu3btgl6vz8jvkA6JnGJA4jLKTPHKK68gEomgrKwMW7Zsydj78oV0De3r62Pds0pKSjiNYRwOB1wuFwBgw4YNqKury/nxLgeKouiKG61WiyuvvDLpayORCCiKgkwmg0wmE+81xYUohomIFBoUReHQoUO477774HQ66edNJhMOHDiAq6++umAmqHNzc7BaraxsE5lMRgfs5+v3YJaIkAeffB1SZsR8ZCsYmOz4OxwO1s6dVqtFd3e3uGOdgvn5edhsNpbTUiKRoKOjAzqdbsViE1M8JYsGPq5BpVLJcloI0W3BzBdhinkkJF7ok+B8k8zp1NjYCKPRSC+sE3V25COeZsM1KAQxDEhegiXmiXGJ7w5K/stHPCWd+Yj4xbczXzFDURRGRkbgdDpZ8wGpVIqOjo6EbplCJ16A9/l8vMr2mXMhMo4AwOVyYWhoiPXasrIyGI1GurlINBrF73//e+zZswcej4d+nUKhwN13340vf/nLeasiIMIxU0COF8WYX6/0Z/EVa7LNwsIC7QxnruVVKhWMRiOam5thtVrR29sLIFa1IvTu0+FwGK+++iqAmNPz8ssvT/paIobJ5XJIpVLBzclEVoQohomIFCqBQACPPfYYvve977HEkE9/+tN47LHHUFVVVRCTVzLBtNvtLLGgoqICa9asybqoEwqFOOH28/PzKb+P2RGLPPKRbREMBmG32zE8PMx6vtiy2LLF2NgYbDYb62+uVCphNptRX1/P6++ZrniqUCg4wlchBbOGQiG6ex3z/l5bWwuz2Zx2UPdqYXJyEjabjZPpVFpainA4zMt5qlKpODlf2fjMC0UMI4h5YlzIdYgpfvER4JnU1NTAYrGIn90liEQi6O/v55SQFYMgG99h1ufzpRTgmU0S+DRqSVZ6WllZCZPJRDdVCgaDeOqpp/DNb36T9dry8nI88MADuP/++7Pq5F6KeFEsvutkJjpPMsWa6upqbNq0KSPHvhJmZ2cTdpouLy9HSUkJ3Znxmmuuydvfhi/z8/N0Vl1jYyPWr1+f9LVkA4GUSYpiWFEhimEiIoUMRVE4deoU7rnnHpw4cYJ+vrGxEd/5zndwyy23FIQgBsQm8g6Hg5VJJJFIaFEnE+VX4XCYI3zxyUaRyWR0qD15CG2nfHJyElarlVWusFxRZ7WSrHwtUee/SCTCEb74jKFcugZzjd/vh81mw9bw970AACAASURBVNTUFP2cRCJBZ2cndDqdWDoZRyQSoTOafD4fJicneTm+4sVTrVabs+wSoYlhhNWaJ0bGEFO44HMdineeLi4uwu12szYDpFIpOjs70dHRIW6mLEEwGITH4+FkeJaWlsJoNKKurk7Q1/f4MeTz+XhtBKrVapZrMF3n6dTUFBwOByvuAYjFZRgMBvqzOzMzg/3792P//v2s+U19fT2+9rWv4a677sqbOJGs8yTz/9MVxRYWFugMtfr6elx22WUZO+6V4vP5EgqahG3btgm+dHhmZgZHjhwBALS2tmLt2rVJX8sUw2QymXhdLC5EMUxEpBgIBoM4cOAAdu3axZos3HTTTfjud7+L1tZWQU/KmExNTaGnp4f1e6hUKnR3d6O2tpb3+zAneuTBJ9dCKpVyhC8ht4JnkiyLTdzt50eisl0gdv4UCgUCgQCnZXwi4sXTVOHkxQAJibfb7SxHk0qlgslkWrWCLMnXie/syHc+pFKp0N7ejvr6+ryKp0IVwwjFnCfGbJJAxlAgEEg5hpbqDsqEdJBzu90sp1OiTCcRLnNzc3A6nRxBNt7plE9Il2LmGOLTaINknjJdX5kU4EmnbKfTyRJzJRIJWlpaoNfrabf0yMgIvvnNb+Lpp59mlfp2dXVh9+7ded38TSaKrSRPbHZ2Fm+++SaAWDbdunXrsnLsK4Fk6TG7JQMxJ5vZbBbE2E/G5OQkjh07BgDQ6XQwm80JX8f8u4piWFEiimEiIsUCRVFwu924//778dJLL9HPazQa7Nq1C5///OcLxqFBQs7dbjdrstbQ0ACz2cwpJYtEIvSCkzz4iBZSqZQOlmYKX4Va4kCYm5uDzWZj7dpJpVLo9Xp0dHQU/O+XDaLRKL3gHB0dxeTkJC/BopDF02wQDofh8XjQ29vLOn9kciz00omVwFxwMjs7psrXYY4hpVKJsbExlltCIpGgtbUVXV1deRN1hC6GAcWRJ0Y6zMZnNKXK+WKOISJaLNe9nMzptJpLT5eDz+dLKAw0NDTAYDDkdDMqUVYcU+hMBBlDTNdXrjZxotEoBgcH4Xa7WaW9MpkMHR0dLJeiw+HAnj178Ic//IH1Hhs3bsTevXuX7AqYbTLZedLn8+Gdd94BALS1teGiiy7K3oGvANLc68yZM5x7Hek2LcT7/oULF3D69GkAsftbV1dXwtdRFIVIJAKJREILYYWylhLhhSiGiYgUG5FIBL/+9a/x0EMPYXR0lH5+06ZNOHDgAC666KKCWajPzs6ip6eHVX4lk8nQ1tYGlUpFO7/47JIzO6qRiV4xCF/JIDuuNpuNtTAsKyuDxWJBdXV1Ho8uvxCnBVM85SNaALHxV1tbi+rqalRUVKC8vLxox9BKmJ2dhc1mY7nsisWpA7BFC7Lg9Pv9KRecADidHePHEFlc2O12VtkSEXXy4fQtBDGMkKzsuaysDGazWVCiTjoZTUDsd2GKFpm8DpFcIGZzEaD4S08zAfnsOhwOjtOpra0NOp0u46XN4XCY06yFT2YlabRBXF9CuJeFw2H09fXB6/WyBGCFQgG9Xo/W1lb6GI8fP46dO3fS7inCjh078Nhjj+Hiiy/O6bEzyYQoNjExgePHjwNY2rkkFF5//fWkZbYtLS0wGAyC6ng/ODiIc+fOAQDWrFmD9vb2hK8TxbCiRxTDRESKEYqiMD4+ji9/+ct45pln6OcVCgUefPBBfOlLXyqIkjlSYtTf34+RkRFeYgXwN+GL6djRaDR5n+jlg3A4DJfLxdntb2pqgslkylnmUL5gdsNiPlI5LYDYYqG0tBSzs7OshQ3J1Ons7BQnRUuQTNQpKSmB0WhEU1NTwQjzwWCQ09mRTzg5M1+HPPiOmUgkgt7eXng8Hk5IvNlszqmgXUhiGGF+fh5Op5MT9pwvUYeZN0jGEp+Mplw1SYiHlED5/X76OeJS1Ov1RX/vWAnE6eRyuVjiplwuh06nQ1tbW1r3DqaDmYwjPi74kpISVqmjELsUMwkGg3C73ZzmLGq1GgaDAQ0NDZBIJHTHxZ07d+L8+fP06yQSCf7xH/8Rjz76KNra2vLxKwBYmSg2OjqKU6dOAVjauSQUDh8+jGAwCKVSCb1eD5fLxbpHSqVStLW1oaurSxDXDq/XC6vVCgBYt24dmpubE76OiGFSqZQOz1+Na4kiRhTDRESKGYqi8Morr+C+++5jLWCMRiMOHDiAa665RjCLUTLJYzp1+Lp1mLvkxGkhihRs/H4/enp6WOVXcrkcRqMRLS0tghkHK4GiKCwuLnKELz5OC7VazVpwajQaesGZzGWnVqthNptRV1eXtd+pGEgm6mi1WlgsFlRUVOTx6LgwnRZkwcnHaaFUKjmiRSYWnAsLCwk7eNXX18NkMuVkt70QxTBCPvLEEokWfLLiSEYTcxzls8NsstJTIuq0t7eLC8MlSNb1VKVSwWAwoLGxMem9N1HJ7MzMTMo5Eel0zXQOKpXKgrzHJ8tjq6iogNFopDcESEXE3r17MTAwQL9OqVTiC1/4Ah5++OG8OULJZ54piiUTxJh/o6GhIZw9exYAYLFY0NnZmdsDXyaHDh1CNBpFeXk5rrnmGoTDYfq+z3RMy2Qy6HQ6dHZ25jV7y+FwwOVyAQA2bNiQdB4nimFFjyiGiYisBmZnZ/HYY4/hySefZN2U7rrrLuzduxdVVVU5nSitpExNpVIhFAqxnD1qtRrd3d2CKn8RIhRFYXBwEA6HgzUOtFoturu7odFo8nh0yyddtw5xWjAffBbE4XAYbrcbfX19rEVtXV0dzGazoEoAhMj8/DzsdjurfBsAnYeVj91ikjfIHEd8Gm3I5XKO4yvb3bOmp6dhtVpZTp1cuRQLWQwDYte+kZEROByOjOeJMd2nzHHEJyuOOX6E3GgjmaCtVqthNBpXbYMMviwsLMDlcmFoaIj1vEajgclkQnV1NUKhEKdkls/9rLy8nOX6Ki8vL7q/BeleyIzMAGLNbYxGIz13WVhYwE9/+lN85zvfYb1Wq9XioYcewr/8y7/k7T5NQvbJA+CKYsyv+/r6aLfb2rVr0drampfj5kM0GsWhQ4cAAFVVVbjiiivofyNZhPGCMLn2puuSXCk9PT3o7e0FAGzevBmVlZUJXyeKYUWPKIaJiKwWKIrC6dOncc8999A5BEAs4PLb3/42/v7v/z4rF3gSKh0vfPEpUystLWUtFohbJxKJwOPxwOv1rsrSv5USDAZht9sxPDxMP0ecEl1dXYLslEMWCswHH7dOSUkJR/haqdMiEAjAarWyJttSqZTe7RQnSkszMTEBm83GEp1ykYdFURSr0QYpMUo1N2GKFmTBmS/RgqIoDA0NweFwsByPKpUKRqORLh/KNIUuhhEykSfGFOHJf/m4T4loUciZlclEHa1WK/jucULA7/fD4XBwOhbLZDJecyKVSsUaQ8spuy50KIrCxMQEHA4HpzS0qakJXV1dtNA1NTWFJ598Ej/60Y9Y84Tm5mY88sgjuOOOO/I2z0nWeZL5/1KpFF6vFzabDQCwfv16NDY25uV4+RAMBnH48GEAsc3BDRs2cF5Drh3xpa/EJdnc3JzT6+HZs2fp69g111yTNOQ/Go0iGo3SYlhJSUnRic2rHFEMExFZbQSDQfzwhz/Eo48+yppQ3HjjjXjyySfR1taW9oU+UT4T31BpUqbGFL5SuXUCgQB6enpY3ZsUCgWMRqPYDp4Hk5OTsFqtLFFCqVTCbDbndac/HA7TzRHIgpNPto5cLk9YYpSN34M4Tex2O2v3vrS0FBaLRXQppiAajaKvrw9ut5u1CNRoNLBYLEl3aflCrkXxzsFUbh2SN8h0fQlRtAiFQnC73ZwswMrKSlgsloy7PItFDCPwzRMj1yKm+MVHhI8vuy420cLv98Nut2NycpL1fGNjo+CCsvMNc0OQeT1KtSYi9zOm6yufJbNCgZTuulwu1meRZFLpdDp67jgwMIDHH38czz77LOva393djT179uCjH/1o3uY5yUQxcjxutxtutxvA0mV8QmBubg5vvPEGgJgweckllyR9LWnQEX/tLSsry+qGTjynTp2iXerbt29P+tkiYphMJoNEIhHFsOJDFMNERFYjFEXB4/Hg/vvvx5/+9Cf6eY1Gg0cffRSf//znU+6axXdTIw8+wle6ZWrJjiNR6V9VVRW6u7vFzlcpiEaj6O3thdvtZk0Wa2trYbFYsr6oIWVqzIUCnzI1kovCfOTDrZOsQUFDQwNMJlPWS+cKnYWFBTidTpZLEYhNqI1GI+/FX6JrEd+ufPGdHQtJtEjUtRP4W/euTLlki00MIyTKEwNA3zf4XIsUCgXHrbMa3MmkUY/D4WCdJ6lUivb2duh0OkG6jLNNvHPQ5/PxmhcRJBIJWlpaYDQaV+X540skEkF/fz8nk0oul6OzsxPt7e30tfz8+fPYvXs3/u///o/1HldddRX27t2LzZs35/TYmSQSxQDAZrNhcHAQQKwbvJA7gM/MzODIkSMAgLa2Nlx00UW8vsdut2N8fJz1vFarhclkyvqG4tGjR2l3//XXX5/0vi+KYUWPKIaJiKxmIpEI/uu//gtf/OIXWQGll19+OQ4cOIC1a9dCIpEgGo3C4/HgnXfegcPhwMc//nHei00SKs18ZGOhsLi4CJvNxvo9JBIJdDoddDqd4JwdQmNubg5Wq5W1qJZKpdDr9ejo6MjI+YsPlZ6ZmeFdpsbsDErcOkKakPj9flitVpZLUSaTQa/XiyHTPJiamoLVamW5VWUyGZ0pwjx/8dk6MzMzrByoZDBLjHLZlS/bEFHCZrOxHJRyuZwuPV3p+Cs2MSzerTM+Ps7LfUpKZpnil0qlEtS1KNck65yYiTw2oROJRGjn4HI6hJaWlrIE+OnpaXi9XpZLtqSkBF1dXTkvHys0QqEQvF4v+vr6WBt6SqWSPn/k8/n2229j586dOHr0KOs9Pvaxj2HPnj0wm805PXbC4uIipqen6XEUHyWyefNmVFRUJO08mW8mJydx7NgxAIBOp1vWeSRda5lzJyCWB2cymbJWev3222/D7/dDKpVix44dSV/HFMNImaRIUSGKYSIiqx2ykPrKV76CX/ziF/TzMpkM119/PXw+HysfSSKR4ODBgwkdQ9nIZ1ou4+Pj6OnpYdnny8rK0N3djaqqqpweS6GRrGtiWVkZLBbLsnYm022SQMrUmOWOQixTSwQp37Db7axFYTrnbzVCFtVOp5O1069SqVBTU4NIJMK7ZJZ5LVotbp1kpafLycNKRqGLYYuLiyzxdDluHblcjubmZjQ3NxfMtSgfhEIheDweToORsrIymEwm1NbW5vHoVg65pzGFLz6bOcQ5yBRQEznhg8Eg3G43J1OJlI/V1tYKUggRCsny7OLPH0VRePHFF7Fr1y7Y7Xb6dVKpFHfeeSe+/vWvo6mpKWvHGYlEOB1Clyq9lsvl2LJlC+1MStR5Mt+Mjo7i1KlTAGL3iq6urmV9P0VRGBsbg91u5+TBNTQ0wGg0Js30SpfXXnsNCwsLUCqV2L59e9LXiWJY0SOKYSIiq52xsTGcOHECx48fx5///GccO3YsZZDr448/jvXr1ycUvoRwg45EInC73ejt7WVNKpubm2EymdIuyVwtkNK/vr4+1vPJGhQk6qbGt0lCWVkZy61TaGVqiQiFQnTpJJPGxkaYTCYx9yUJ0WgUgUAAk5OTGBwcxNzcHK/vY2bFMTs7CuFalA8WFxfhdDo5i8K6ujqYTCaUlpYu+z0LSQwLh8Mc5yDfnC+tVovS0lJMT09z8rDi88REEjM/Pw+Hw8FyaQPczn9Ch5ReM0WLVPe0+GYb6TgHZ2dn4XQ6OV13q6urYTQaUVFRkdbvs1oIBAJwOByc8rvKykqW0ygcDuNXv/oV9u3bx8qvUqvVuO+++/Dggw+u2JWUroCqVCqh1Wqh0WhQX18PlUrF6TwpJFFsaGgIZ8+eBRDLY+vo6EjrfciGosPh4Gx6kdL/TEV3vPrqqwiHwygrK8OWLVuSvi4SiYCiKFEMK15EMUxEZLXh9Xrx61//GidOnMCJEyc4gkciysrK0N7+/+ydeXBb1b3Hv1ot2Za827Edb9qVECAhCwEKPMrSmdKBLhQ6fbQU3msgQFj6CtmcQBJCCAwBUiiEBlpK50H7KHQKb1p4QFnDEiAJSbR7T0iwFVvyqvW+Pzznco8W69qWrcXnM6MJucjylXJ07znf8/19f41YtmwZzj77bFx66aWYN29eVtyEJ2JwcBBHjx6l8mAUCgXMZnNOnH+m8fv9sNvt8Pl8/DGZTIaWlhYUFhZOOisuWXfQfCXZ55eo9G+uMVXnIDC+UKiqqkJpaSm0Wi0KCwvZdzkBPp8PDoeDGn8SiQRNTU2TznPKVjEsGo3yzTYmkzlInINCIT52kTMwMACn0xn3+TU0NECn07FNlRQk+vyA8UWtXq/Pqk2BWAHV5/OJKr0mmznkkU7nYH9/P1wuV9znF9s5kZGYZJ9fdXU1DAYDlQv4xBNP4OGHH6bmiuXl5bjrrrvwy1/+UvRYJXlxQvEr1dyI5J8K3YMka5TkiZEHgDhRTPj3TNHZ2QmbzQYAWLRoEerr66f1etFoFD09PfB4PNT3UCKRoLGxETqdblrXD47j8M9//hPAeEbZypUrkz6XiGFyuRxSqZRd9/MPJoYxGHON9957D+eff37S/6/VarF06VI0NDTg4MGD6O7u5nOkqqursXPnTvzwhz/MmYU8x3Ho6emBy+WidnUrKipgsVim5JKYS4yNjaG9vR3Hjh1LuZspJJ1NEnIZ0uDB7XZTpZPFxcWwWCxzonRX2GxD6NZJ5bKQSCQoKiqCXC6Pcxqq1WqYzeas7rCVDQh32oVdTwsKCmA0GkVvCmSDGEZyvoSCxeDgYMrrknCxOVnnIOka63K5qEXZXMjDSgccx+HkyZNwuVyUO49sqghDzmcL4kAVur7ECKjErSMcSzO9mUOiC2KdMqRJQXNz85y8r4qFfH5ut5tyGpMmBUJRpa+vDzt37sSePXuoe3VjYyM2bdqEq6++mvqux+bFie00S2IgiPhVXFyc8loUK4oJHWFCUSxTgpjH4+HvC4sXL0ZNTU1aXjccDvOl/0JRUSaTobm5ecpNOoLBIN566y0A447fpUuXJn0umXcQZxj7vuUdTAxjMOYaQ0ND0Gq14DgOxcXFWLJkCZYuXco/9Ho9f8MPhUJ4/PHHsWnTJgwODvKvcdlll2HXrl1obGzMGUfG2NgYHA4HVXqQ7oD4XIcEkwsfYiZ3czGfabIEg0G43W6+OxRhsl0TcwFhNzWy4BTTbEPoHCQlImShHAqF0NbWFte1s7KyEmazmYnaKQiHw2hvb48rHS8pKYHZbE5ZDpQJMSyRgJrKZUEyB4Uui3Q024hEIujo6EBHRwflXsyXPKyZJhKJoKurC+3t7ZSorVKpYDAYZsypTYR4oVPH7/endKDKZLI44SuTnYGJU6atrS2uSYFOp0tLk4x8huRRtrW1UZsCMpkMTU1NaGpq4kWVjo4ObN26FS+++CJ1rVy4cCF+9atfYdGiRaLLHZVKJeUcnK6AmqjzZDaIYg6HA+3t7QDGG3CluxMkuf93dnZS310y/icrqo+MjODdd98FMD4HO+OMM5I+VyiGyWSyvK5mmKMwMYzBmIu8/PLLsFgsMJlMKW8gHMeho6MDa9aswauvvsofLy4uxqZNm7Bq1aqcujl8/fXXsNvt1C5/cXExrFYrSktLM3hms0s4HOZ3NckCQUwwuUwmoyZjwPiEz2q1oqqqKmfE0Uzh8/lgs9kocZl0/WtoaMi5z4+UFwlFCzECqtBlMRnn4ODgIBwOB9/QAxhfBJBd4lzPm5tpRkZG4HQ60dvbSx2vq6uDwWBIKsrOtBgmFOLJOBJTpibsykdcFjM5BsbGxuByuaiMIYDliYklGAzC4/Ggp6eHOq7VamEymabtlA2FQpTwJUaInykBdSYgTQq6u7upe7BarYbRaER1dXVWnne2QJxGsZ07Y0XFYDCIDz/8EPfddx8+/PBD6jUWLVqEn//85zAYDNRxYadZ8pipHN1kolim8sSOHDnCZ6SuXLlyxjpAkiYJsU0miKgutvOqz+fDvn37AAANDQ1YuHBh0ucyMSzvYWIYg8EQRyQSwV/+8hfcfvvtVDDu0qVLsXv3bixatChnJmHJAuLnz58Pg8GQdzZoYucXOr7ElIWQ8iLhQ61W8wJpe3s7NSGvrKyExWJhWSYpIKW7sV0TNRoNLBZL1oqyUx1HCoWCGkNkkTBVSOmV0+mkBJOCggKYzWa2IBRBX18fnE4n9e8nk8n4XfbYBUU6xbBIJIKhoSFKsBDTLEHossh06XWyPLH58+dDr9fn3T0k3SQLOa+urobRaBTl9CR5cULxS8w4UqvVlGghdKDmCqOjo3C73XGibElJCUwmU9beQ7KFZJ07ieAhdI8dPHgQzz33HDweD/UaF1xwAdasWYOFCxfyQvxsu/OIIEbeQ2yG2GyJYgcPHsRXX30FADj//PNn3Kk9MjICl8vF/04C6RxaU1Mz4Xv2er349NNPAQA6nQ4mkynh8ziOQyQSgUQiYWJY/sLEMAaDIR6O4+D1enH33XfjmWee4Y/L5XLcdtttWLt2bU6VK/n9fhw9epRy6SiVSlgslpxdUAvzUMhDjJ1fKpVCo9FQgkWqYPKRkRHY7XY+U468Dis9FUcwGITL5Yrr+ldXVwej0ZjRUtNoNMoH3E+mC5ZMJoNGo6EEC7VaPSPfpWSlf2VlZbBYLGlvxZ5vRKNRdHd3x+WxFBYWwmQyUXlsUxXDhI0ShJ1mU40jYYfQbChTS8REeWKsdE0cXq8XTqcTQ0ND/LFETQqmmhdHhHihezCfSvj9fj+cTifllAXiQ+IZ45DO10RA7e/vp8ZeMuRyOT777DM8/fTTlKtRLpfjhhtuwNq1a1FdXT2Tpz4hmRbFPvvsM95tfNFFF83ad8zv98PlcsU5nYnTtKKiIuF7PnHiBA4cOAAAMJlM0Ol0CV8/VgyTy+U5J5wzUsLEMAaDMXk4jsObb76Jm2++GU6nkz+u1+vx2GOP4YILLsgZIYksCD0eD2WbzwWXU2xHPp/Ph6GhoZR5KKQsRLhImGoXLBJQ63A4qAVhUVERLBYLysvLJ/2ac42BgQHYbDZqUi6Xy2E0GlFfXz/j3yWy0IzNixMzjmIF1EyUFw0PD8PhcFCiLOv6J55keXbC0j8xYpiwUYJQ/BLTKEEooIoR4rMJlic2PUiTEY/HE5fnRMqtxOTFCTd0iOtrpoT4bILjOPT19cHlclFOT+JU1Ol0eSUAToaplM0KKS4uhsFgQGVlJSQSCYLBIJ555hncf//9lKuxuLgYt912G2699VZoNJqZeCuiiBXFhPlhMymKffzxx7wge+mll876JkB/f39CUbi8vDyhU7KnpweHDx8GMJ4F19DQkPB1iRgmlUohlUqZGJafMDGMwWBMnZGREWzbtg0PPfQQNcG49tprcd9996G8vDxnJqKjo6Ow2+3UBEcqlUKv1ycsG5ptEgkWsR32kkGEL/LQaDRpfz/JSk9ra2thMpnm7GRcLMJW4sJFn1arhcViSWsGRyLBItVCExhf3AsdXzMxjqYKx3Ho7e2F0+mksu+USiWMRiNqa2tz5lqUKfx+PxwOBwYGBvhjpJX9d7/73TgxjCw0heNIKGYko6ioiBLis2kcTYexsTG43e640h2WJzYxkUgEfr8f/f39OHHihKjSayB/x9FUiUajOH78eJyoKJfL0dzcnJHOnbMJccULuzuKKZsV5g4C40JJ7Bisra2FXq/nN0cHBwfx6KOP4rHHHqOeW1VVhfXr1+MXv/hFxjZhyFo7VhQDEmeLpYMPPvgAg4ODkEqluPTSS9PympOFiMJOp5Oq9gC+Kb8mQmV7ezscDgcA4Mwzz8S8efOSvqZQDFMoFHP6GpOnMDGMwWBMD47jcPDgQdx000346KOP+OPV1dXYsWMHrrrqqpy5eRCXk91upyaTGo0GVqt1xkJBE52HULAQ20kNmLgj32zg9/ths9ng9/v5Y7Ppcsp1AoFAwiyMqebZCQULIlqIESxIro7wkQtZGZFIBJ2dnXF5diUlJbBYLPyCh5GYZKV/N9xwA7xeL2pqavC3v/0NPp9PVMMNlUoVV+6YC+NoOvh8PjgcDpYnlgCO4+Ly4sSUqQHjJY81NTWorq7OaF5cthMOh9HZ2RnnVCwoKIDBYMiLjYHYLqGkbDaVm1mhUFAO1JKSkrhxxHEcvvrqK3g8HqoZjFQqRUNDA1paWvifOXHiBB544AE888wz1PxMr9fjnnvuwfe///2MfdYkZJ88yHsA6M6T5O/T4Z133sHo6CiUSiUuuuii6Z34NCH/fm63O04MJY1iiBMVGM89TubeZWLYnICJYQwGIz2Ew2E88cQT2LhxI7Urc9lll+Hhhx9GU1NTzkzAQqEQ3G53XMerxsZG6PX6tC/mAoEAJXqJtfKThaZwZzwbFgjJAuJLSkpgtVozWkaQK/T398Nms1G7zgqFAkajEXV1dQm/S8RhIXTqiBEslEolNY60Wm3OO/lGR0fhdDrx9ddfU8fr6+thMBhy/v3NJBzHwe/3o62tjXfKEjGsoqICe/fuTfhzcrmcGkPTbZSQyyQTFUnn2LmQJ8ZxHAKBQJxgkcrNTLryqVSqhKH4tbW1MBgMWZchl20EAgF4PJ648ufi4mI+TylXCIfD1DgS40IVll9PpWw2Eomgu7sb7e3t1DwmkdPO7Xbj3nvvxV//+lfqNc466yxs3boVF1xwwSTfcfpI1nlS+N/Ccsqp8OabbyIUCqGwsBDnn39+Ws57ugjd9sJrsEQiQVFRES/CT9T9MhqNIhqN8mKYUqnMmXUMQzRMDGMwGOmD4zh0dnZizZo1+Pvf/84fLyoqQmtrK2666aaccgUkynIqKCjgA/anQigUCMcsJgAAIABJREFUihMshDfqZJBOakKnTrYv6BO5nEjZlU6ny6mxkAmi0Si6urrQ1tZGLSBLSkpgNpsBIK5RQiqEweRCwSJfJ3herxcOhyNOVCSCRL6+b7EIHRbCYPJYwSKRGKbRaFBaWspfl3Ip52u2mEt5YrH3NrEu1OLiYsqtI8yvTFb+LJVK0dzcjKamJnYfSUGyzp0VFRVU6Vi2QJq3CMUvMaWzarWaEr7SVTYbCoXQ0dGBrq6uOKedXq+nNqf279+P1tZWvPvuu9RrXHLJJdi6dSsWLVo07fOZKslEMaEwNhVRjOM4vP766+A4DlqtFuecc07az306CN3iiTaZmRg252FiGIPBSD/RaBR/+ctfcPvtt1Otv8866yzs3r0bp59+es7cUKLRKDo7O9HW1kZNhKqrq2E2myfcnQ6Hw3GljmKcOqQDlvCRy7vgp06dgs1mo3b4iahYVVWVM2MhU4yOjsJms1EB8WIggdJCEXUuChbJREWNRgOLxRIXrpvPBINBSogX60L9j//4D/T19VFimEwmQ0tLS95nEaWDZHliFRUVMJlMOdf5NBqNYnBwkBpLYgQLoZuZXJfEjJ1knU+VSiUMBkNStyzjG06dOpUwT6murg56vT4jc4xE7kExzVuELlQylmZ6c3BsbAwejyeu+zNpMEJC9ok41NraiiNHjvDPk0gkuOaaa7Bp0yY0NjbO6LlOxESi2FTyxMLhMP7v//4PwHhg/fLly2fs3KdDKBTiu08L5wHErZvoPkbEMJlMBolEwsSw/ISJYQwGY2bgOA6nTp3C2rVr8bvf/Y4/LpfLsWbNGqxduzanAoVHRkZgt9spQUImk8FgMKChoYFaHJCHmMWBXC6PEyxUKlXe3XCj0Sg6OjrispxyoWvnbBLr1CEPMR35hI0SYh0WjOR5bLW1tTAajXlX0jfVslmVSkUtNElm4vHjx1FTU4O9e/dSgoRarYbJZGLCtghyMU+M4ziMjo7GuQfFCBbC8ut0lM2GQiG0tbWhu7sbwjVFLpb+ZQJSvut2u+PysJqamtDc3DyjTjuyQUjG0sDAgKhyR+IeJI9Mbuokc9qVlpbCZDLxLqNIJIIXXngBW7duRXd3N/88pVKJVatW4de//nVGx2u6Ok+OjY3hX//6F4DxTeIlS5bM6HlPl0AggA8++CBu3JFMvfr6en7eFCuG5dscgQGAiWEMBmOm4TgOb7/9NlavXs13bwEAnU6Hxx57DBdeeGHOLKDIRNLhcFBuCqlUmnJhQJ4X6/iaa06dRKKiVCqFTqdDU1PTnBNvhHlxZIEwmdbvhJKSEixYsCDnHCaZoL+/H3a7nSorlclk0Ov1aGhoyMkxKCwtmkwwOXGhCgWLRA4Lo9HId5M8cuQIL0gIKS8vh9lsZmMwBckEiWzJEwsGg3FdQlNdk4T5TGQczeS9bXh4GC6XC729vdRx1rlTHMnysJRKJXQ6HSUITJWpNksgYryw3DEbnaf9/f1wuVyUsA2MC0IGg4Efg2NjY3jqqafw4IMPor+/n39eSUkJ7rzzTqxevRqFhYWzeu5CYkWx2GD9VKLY0NAQ3n//fQDjLsPTTz99dk58Grz//vsYGhrinXxCCgsLYTQaMW/ePP6zkclkfJkkI+9gYhiDwZgdRkZGsH37duzcuZOaWP/0pz/F9u3bUVFRkZWiEMdx1CLT7/djcHAw7gYaC1kcCIUv5tQZh3TtdDgcVF5aUVERrFYrysrKMnh2M4cwU4c8hIvhZAg78pFHOByOC4iXSCRoaGiYkSYP+UayJg9FRUUwm81Z7TCJdeqQRypBXijGE9FCbKC0UAxzuVwAgMHBQTgcDmqBl+0up2wiWefT2cwTi0QiGBwcpErUxLgHhflMpHlLJgSLRKV/ZAzqdDq2eE1BMBhEe3t7nNOOCAKTcXuSDtjCsZTK0TwT7sHZhMxlYjsXSiQS1NfXQ6fT8e9nYGAADz/8MB5//HHqvl9XV4eNGzfipz/9acbu2+TfPtYpBiQuoxQyMDDAd5JvbGzEggULZvHMp8bbb7+NQCCAgoICLF26FE6nM05Y12q10Ov1KC8vh1wuZ2JY/sLEMAZjInw+H6xWK1VW8/Of/xy///3vM3dSOQzHcTh06BBuuukm7Nu3jz9eVVWFHTt24Mc//nFGxSKO4zAyMhInWIhxfRGyZXc/FwiHw/B4POjq6qKO19XVwWg05vTEgywyha6v2K5oiYh16mi12gkXB319fbDb7dQCtqCgACaTCTU1NVkpMGcTwWAQbrc7ruNadXU1TCZTVpTvEvegUPwS4x6cKJh8siQSw4BvFoNOp5Na4CkUCr7khI3BiZmtPDGysSMULIaGhlJu7CgUCmocZVvzFo7j8NVXX8Htdsd17iSZduxePDEjIyNwu904efIkdTy29I9ASrCFwleqjR1hKT8RUouKivLi+hCNRnHs2DG0tbVR5XcymQxNTU1Uo4djx47hvvvuwx//+EdqbmmxWHDvvffiu9/9bsY+E5InRh5AvCgm/DswPgfZv38/AECv18NoNGbgzCfHG2+8gUgkguLiYpx33nkAxp1+TqeT2twBxr8DCxYsQGlpKdvgyU+YGMZgTMSqVauwZ88e6hgTw6ZPOBzGb3/7W2zcuBF+v58/fumll+Lhhx9Gc3PzjE8GSDZTrPAldIkko7CwkF8UFBcX49SpU+jo6KAWFTU1NTCbzTm1y5kp/H4/bDYbNRZyaTEdW6JGOjumuufJZLK4zo5TyYtL5jBhZWviSZTlJJVK0dLSgqampllzvQibbohdZALjTp1YETWd55xMDCMkG4MajQZmszlv3Z7pZKI8sam4nIROHfJnKqdOrHtwqtekTEDGYEdHB/U+1Wo1jEYjqqurc+J9ZJKBgQG4XC4MDAxQxysqKlBeXs5vFoq5vxUUFFDljum+JmUj4XAYXV1dcWNQoVBAp9NRm6Q2mw2bN2/Ga6+9Rr3GypUrsXXrVqxcuXJWz11IrCgW23VS2HnyxIkTOHDgAADAbDajpaUlY+cthmg0itdffx0AUFZWhhUrVvD/j+M49PX1xblNV65cibKyMiaG5SdMDGMwkvHee+/hggsuiLvhMzEsPXAch87OTtx+++3429/+xh8vKirCxo0bsXr16rRaxqfqriCLTOEj0XkNDw/DZrNRu0pyuRxGozEnBJ1Mk6xsraSkBFarNWvav8e6B8WGSQvLZsnCIN274qOjo7Db7VSwr0QiQVNTE3Q6Xd4vRKYLcZi4XC5qd1+tVsNsNqOqqiqtvy8ajcZl6ohpupEJp04qMYwwNjYGp9MZ5zCpqamB0WjMCqddNsNxHE6ePAmXyzWpPLFYEdXn81EuqWQUFRVRY6m4uDjnXVSBQAButzuu619JSQlMJtOc6h47FQKBALq6utDT0yNqcxD4ZmNHKHzlcgfs6RIMBtHW1oaenh5qDaFWq2EwGCjX9ocffojW1la+1JBw+eWX495774XFYpnVcxeSrPOk8L+PHz/Od81cuHAhGhoaMna+YggGg3jrrbcAjFelnHXWWXHPIbmOLpcLGo0GixcvhlQqZWJYfsLEMAYjEYFAAGeccQYcDgeqqqpQW1uLQ4cOAWBiWLqJRqN46aWXcNttt1FlIkuWLMHu3btxxhlnTFowCAaDcY4vMQuDgoKCOOFrMotMsph2Op2U0FZaWgqr1cocOiIIBAJwOp04ceIEf0wikaCxsRE6nW5WMzVI2/dYEVXMAkHY2ZFk6szWIrO3txd2u51aTKtUKphMJuaOEEGyjnXTCecWiqhkLIkRUWUyGR9MLlxkzva/oVgxjNDf3w+Hw0HtrkulUjQ3N6O5uZkJsylI5rQjWU5qtZoqURMTTE6cOkIRNZ+zBQcHB+F0OnHq1CnqOBNmvyE2M87n84lyoiqVSlRWVvLXpeLiYnZfSUCy8lOtVguj0Yjy8nIA4/eHV199FZs3b6YaTUmlUvzsZz/Dhg0bUFdXN6vnLiSZKCaRSNDV1QWn0wkAOOOMM1BbW5ux8xTD8PAw3nvvPQCpA/9DoRDC4TDUajVkMlleXy/nMEwMYzAS0draim3btgEAnnvuOezduxfvvPMOACaGzQQcx+HUqVNYt24dnn76af64TCbDmjVrsG7duqQL0FAoRGUziQ0AJtlMZGGg0WjStpMZDAbhdDopcU8ikaC5uRktLS1sISgCr9cLu91O5WypVCreoTMTE2+hiEoWmanavgO0e5CMpUxPmiKRCNrb2+PKdysqKmA2m1m3NREMDQ3BbrfHBcSL+R4HAoG4jnypRNRsztSZrBgGjF/Xjx07BrfbTW0OMGFWPKOjo3A4HHHhzqlgTp1xSNmTy+WiXJdSqRSNjY1oaWnJ+LV6tiCCvFD4ElPuqFQqIZfLMTo6Sj1XpVLBYDBg3rx57HucAp/PB7fbHSfMVlRUwGg08s73cDiM559/Htu2baPmjyqVCjfffDPuvPPOjDobiSBGoiH8fj9OnDjBl3YvXrw466/rPp+PzyyeKPBfKP7JZDImhuUvTAxjMGI5fPgwlixZglAohIsuughvvvkmLrzwQiaGzQIcx+Ff//oXVq9eDbvdzh9vaWnBI488guXLl+Pjjz/Gxx9/jC+++AKHDx/GxRdfjCuvvHLC1yUdi4SP2XBXnDp1CkePHqXEObVaDavVmtXd6rKFaDSKjo6OOHdEZWUlLBbLtHb2w+EwvyM+GRFVqVRSuUzZFiYdy8jICOx2O7xeL3+MCbPiIWVrTqeTcpcKmxQIw6TJn2KcqIWFhZRLJ1Md+cQwFTGMkMxpV1ZWBrPZnDUl0NkA6TgrdH2JEeSFJdjZJKJmCyTg3OPxUMKsQqGAXq9HfX19zpeHxhIMBqlrks/nSynIk8w4YdZXQUEBJBIJxsbG4PF44spPY11OjMRwHAev1wuXyxXn5KytrYVer+fnNCMjI3j88cfx8MMPU1mq5eXl+PWvf41Vq1bNah4t2dxJ1Sl0+fLlKCkpSdp5MhsQG/jPcRwikQgkEgkvhGXr/ZkxLZgYxmAIiUajOPfcc/HRRx+hoKAAhw4dgslkYmLYLDMyMoKtW7fioYce4idvxcXFGBkZiSsrOuecc3DXXXfxfxcGAJNHYWFhxm7KyRw6tbW1MJlMWS2kZAuJBB2pVAqdToempqaUi5hoNBrX2VFMNpNQRCWCBVkY5BIcx6G3txcOhyOudNJsNqO6ujqDZ5cbhMNh/nssRCqViuo2KxRRyZ+5lD8yHTGMMDQ0BKfTSX2PAWD+/PnQ6/Vz7lpIrktCwUJMx1mJRELdS2QyGQwGA+tgLIJQKISOjg50dnZSn2FRURFMJhMqKipy7voO0GOJPMRs7kwlMy5Z+WllZSWMRiOLg0gBidPweDzU/VgqlaKhoQEtLS38vcHr9WLnzp3Ys2cPJYo3NjaitbUVV199ddoFmmg0ys+VBgYGRJXOSiQSVFdXY+HChXHdJ7NNFPvqq69w8OBBABMH/jMxbM7AxDAGQ8ju3buxZs0aAMA999yDzZs3AwATw2aYcDiMo0ePYv/+/fj000+xf/9+HDp0KOWOuFwux9lnn41HHnmEn8wVFhZm5YJgaGgINpuN6tKkUChgNBpRV1eXVZOFbIQ4dBwOBzUuioqKYLVa+W51HMfx9n1hNlOq+0+2iagzQSQSQVtbW9xCsLKyEmazGYWFhRk8u+xDWFYkbJYgtkuocJGZiyKqkHSIYcA3wqzT6aQW66kC4nOd2Mw4sWNJLpdT46ikpAQymSxpnpjJZEJlZWVOj7XZYHR0FC6XKy7LKbZsLRvhOA6jo6OU8CVmLCmVyrjS2ekI8qT8VOhykkgkqK+vh06nY520UxCJRNDd3Y329nbKsSeXy9Hc3IzGxkZefOns7MSWLVvw4osvUv/Op512GrZu3YpLLrlkSt950lU91vU12U6hREQlP5dMEMuG61J3dzcf+H/aaadh/vz5CZ9HxDCpVMqH5+fjvYnBxDAGg6e7uxsLFy7E4OAgTCYTDh06xN/MmRg2c3z/+9/HP//5T1G7mHV1dSgpKQEANDU1Ydu2bbBYLFlxgxUDydBxuVzU5KesrAxWq5XlOIkgHA7D7Xaju7ubOl5UVAS5XI6hoaGE9n0hwmwmsjgoKiqaMxOd4eFh2O12amefhZuPd0KcSrMEgkwm4z/DfBtL6RLDCNFolBd0hN/XoqIimM3mnC8jJyVqQiFVTGZcrBN1IkF+bGwMbrebyhYCxgUdk8nEHDoiGBgYgNPp5DOPCPX19dDr9Vkh6IRCobixlKoTtlQqpRpvlJSUzEg0BMdxOH78ODweD1UaTq6FTU1Nc/Z+IhbiVuzq6qLE7YKCAuj1emqz9ODBg9i8eTPeeOMN6jXOP/98bNu2LWFnRCGk66xQ/Eq16ZyodDZR/iAJ2ScP8rPAN6KY8O+Zoq2tjQ/8P/PMMzFv3ryEz2Ni2JyBiWEMBuF73/seXn31VQDAm2++iYsuuoj/f0wMmzkuv/xyvPbaa9QxiUQCs9mMZcuWYenSpTjrrLNQUVGBdevW4ZVXXuGfV1hYiI0bN+Kmm27KqRKbQCAAh8NB7UpLJBK0tLSgpaWF3XCTIOzseOrUKVE7mMD4Aju2s+Ncn6Any8JSq9WwWCyorKzM4NnNPCSbSbgwEJPNVFhYSGV8eb1edHZ2UouYkpISWCwWaLXamXwLs0q6xTBCMkGnuroaJpMpJzr+JcqME9ORj4wl4XiayrXf5/PB4XBQgo5EIsH8+fOh0+ly6t6YCci10OVyUf9umRB0hCX95LokpnQ2XWNpqpDupx0dHZS4rVQqYTAYmPtdBMky2YqKimA0GinH57/+9S9s3LgRX3zxBfXcH/7wh9i8eTP0ej3vko9tmJAK4VgSWzorJFnnSeF/S6XSjI0Hp9OJtrY2AMCyZcuSbrwwMWzOwMQwBgMAXnzxRVxzzTUAgGuvvRbPPfcc9f+ZGDZz3HPPPfjjH/+IpUuX8uLXkiVLEi4ko9Eo/vrXv+K2226jJgxnnnkmfvOb3+DMM8/MqQlXX18f7HY75YqLLfubqwjFismEkgPjZQa1tbWorq6GRqPJqWym2SYcDqOtrQ1dXV2UsFhVVQWz2ZwTYkQqIpFIXGacmAVmQUEB5dJJVlY0OjoKp9OJr7/+mjpeX18Pg8GQF2LETIlhhIGBATgcDiosWiqVoqmpKasaPSRaYA4PD896iVqi80ok6OR7+Wk6SVa2VlBQAKPRmPauiYlK1AYHB1NmECoUirjS2Wy5xwWDQXg8Hhw7doz6ThQXF8NoNOZsJttsMjQ0BJfLhb6+Pup4aWkpTCYTXx0RjUbx8ssv45577uHFHWD8O3/55Zfjhz/8YcpyX1KGLbwupet+lUwUEwpjmRDFjhw5wlcWnHPOOUk3rUjXTCKGKZVKNnbzEyaGMRj9/f2wWq04efIkysvLYbfbUVVVRT2HiWEzB7nZiIXjOPT392P9+vXYs2cPP+GSyWS45ZZbsH79+pwqD0mW41RXVweTyZQ1k9yZRChWEHeFGLGCLAoKCwv5sFeCRCJBY2Mj9Hp91iyks5mhoSHY7Xb09/fzxybTpCBbEIoVZDwNDQ2JymaKLVFLVAoyEV6vFw6Hg2rOIJfL+XDzXJ5Iz7QYBnwTLO1yuSiX3kyJEWLOh3RRE16bUpVhx5YVzVb3YuAbhw7LE5s6yQQdrVYLk8k05Y2qqXQKlUgkceWOarU66/8Nh4eH4XK50NvbSx0vLy+H0WjMK9fsTNHf3w+XyxVXwltdXQ2dTodoNAqfz4e+vj688MILeP7556nnqlQqXHHFFbjyyiv5Ta3YsTQbuagTiWKZyBM7cOAATpw4AWC8vDRZVioRw2QyGSQSCRPD8hcmhjEY119/PZ599lkAwO9+9zvccMMNcc9hYlj2wXEc3nnnHaxevRo2m40/3tzcjEceeQQXX3xxTt24BgcHcfToUcoZoVAoYDabZ30ROJNEo9E4sUKMs4KEkseKFcLPxev1wm63U0Ia65goHo7jcOLECTidTmqRVlhYCIvFknU5TsRZEZvzJSYzTlg2m85FQTQaRVdXF9ra2qjz0Gg0sFgsKC0tnfbvyASzIYYRkrkVS0tLYTabZ2whHQ6HqeuS2NJZkj9IFpjZkD/I8sSmTzKHTnV1NYxG44QNR4T3OaGDMBVqtZoSK2a73DHd9Pf3w+l0UvMaYLybtl6vzwvn8UySzPGZiNHRUbzyyiv429/+Rj23oqICt99+O2688caMNskhgpgwTyy2fHI2RLH9+/fz3+lvf/vbSTecY8WwbMgPZMwITAxjzG3efvttPhvsvPPOw7vvvpvwQszEsOxldHQU999/Px544AFq4fKTn/wE999/f07thHMch56eHrhcLmohXV5eDqvVmnPd/mI7qJHOjqnKQIS74USwKCoqEvXvGIlE0NHRgY6ODur35FPZ30wTCoV4MUJITU0NTCbTpB1T6TyvWJeOGLGiqKiIGkuzscAMBAJwuVxxYkRtbS2MRmPOTaxnUwwjDA8Pw+l0xokR6Sg/jUajGBoaihPlU6FSqeJKZ+Vy+ZTPY6bx+XxwOp1xrlmWJyYer9cLp9MZ1zWxoaEBOp0OcrmcdxAKXV+p7nPCEjUypvLx34MIOm63m4qEkEqlaGxsRHNz85xwwItFmEHo8/kwMDAgKuSezJlCoRD27NmDP/zhD1S5r06nw+bNm/GDH/wgowJrrCgWG6w/06LYvn37eAfdZZddlvT3CMUwUibJyEuYGMbILp5//nlce+21aX/dZ599Ftdddx11bGxsDIsWLYLb7YZCocAXX3yBhQsXJvx5JoZlNxzH4csvv8Tq1avxwQcf8McrKiqwY8cOXHPNNTm1uzo2NgaHw0FlEGV7yVpsSdFkuvHFdnacbGBrIkZGRmC32+H1evljUqkUer0ejY2NWfkZZhuDg4Ow2WxU6YVMJoNOp5vxz5CUzgrFCjEdZ7NNrBgYGIDdbsfg4CB/TCaTQa/Xo6GhIWfGYSbEMEJfXx8cDgfl+JTL5dDpdKI+Q47jMDo6So0lMaI8KZ0VihW5JmICE+eJif0M5zqkE7TH46GECbKQF9vBeLZL1LKJaDSK7u5utLW1UfMChUIBnU43J3PtyIZhbMj9ZNfLibIB3W43tmzZgpdeeol67pIlS7B161ZceOGF6Xobk4a8v1inGJC4jDKdvPfeexgeHoZcLsfFF1+c9HlMDJszMDGMkV3Mphi2du1aPPDAAwCAdevWYfv27Ul/nolhuUE4HMaePXuwfv16agF/8cUXY9euXWhpacmpyWdvby/sdju1gCkuLobVas14uVUwGIwrTxPj0lGr1XFixUxlepFFoMPhoM6NNSkQD8lxcjqdCIVC/PGioiJYLBaUl5dP+3eQkiLheBKb8yUUKrRabVaKFcTx6Xa7qUVgUVERzGZz1pWfJiKTYhjwTflpbLh5YWEhzGYz1f1UeG0i40k4dhMRK1ZMxo2aKyTr+MfyxJLDcRzlIBwYGBDtIIwtd2TZleOEQiG0t7fHlUGr1WoYjUZUV1fn7Tgk7mbhI9WGoUwmo8YSCdBva2tDT09P3GdoMBhQU1PDf4afffYZNm7ciHfffZd63UsuuQRbtmzB6aefnuZ3KR6SJ0YeQLwoJvx7OnjrrbcQDAahUqkmFAQjkQg4jmNiWP7DxDBGdvHyyy/j1ltvTfvr7tq1C1dddRX/9+7ubuh0OoTDYbS0tODIkSMTlk8xMSx34DgO3d3duP322/Hyyy/zxwsLC7F+/XrcfPPNOXVTC4fD8Hg8cSVr8+fPh8FgmJXygnA4HNfZMVV+BfBNNz6hWJGJcohQKASPx8N3ECLU1dXBaDTm1HjIFKFQCG63Gz09PdTxefPmwWQyiRahhB3UhOJXKpeOsAyEjKdcCJIWEgwG4Xa7cezYMep4dXU1TCZTVpfwZloMIwQCAbjdbqqbMDAuLKrVagwPD4tyEAqzmUjp7FwRK8bGxuDxeOI+Q5YnBiqDUGzDBCG5JHBnmtHRUbjdbj7MnFBSUgKTyZTxDb/pIizFJg8xjYFiHYQTifIjIyNwu904efIkdVyr1cJoNPKbVRzH4Y033kBraysOHz7MP08ikeDqq6/Gpk2b0NTUNI13Oz1iRbHYrpPp7Dz5+uuvIxqNQqPR4Nxzz036PCKGyeVySKVSVsqbvzAxjDE3OXDgABYvXpyW13r77bczajdmJIa0nV6zZg016T/zzDOxe/duLF68OKcW0n6/H0ePHqXKrZRKJSwWS1p3UqPRaFxnRzE74bElRVPpxjfT+P1+2Gy2uCYFRqMRdXV1OTUeMkWiz3Cisr9gMEi5B30+X0qXDkCHkmu12rSUzmYLfr8fdrudcq9KpVK0tLSgqakpK0WZbBDDSKdQv9+P3t5eeL1eUUKFQqGI6+7IBPDEeWLA+EaLXq/P+88oNpvJ7/en3OQhDkIynmQyGbq6uuI6/tXW1sJgMGTdPTAb8fl8cLlcVCdjQFyjgmyCbPJMJjdOqVRSwtdUy/p9Ph/cbjdOnTpFHa+oqIDRaIRGowEwPr974YUXsGXLFmpzUKlU4pe//CXuuuuujAq5yTpPCv97OqJYJBLBG2+8AQAoKyvDihUrJnwuAN4ZxsSwvIWJYYy5CRPD5gYcx6G/vx8bNmzAU089xduwZTIZbr75ZmzYsCGndsFJ5obH46EWgZWVlbBYLJN2lpDFpdClI6Y8TSqVxnXjyxWXTrKStdLSUlit1pwaD5mC5Oe43e640smGhgZ+ken3+0XnfAkdXxqNJqtDydMBKT91uVxUCa9arYbZbEZVVVUGzy6eTIhhwgxC8qeYDEKJRIKysjLU1dXl1LUpE8yVPDHhvW4ypdgFBQVxYkWsWM1xHHp7e+F0OuMC4puamtDc3Jz317PpwnEc+vr64HK5qM23bG32ECuk+nw+BAKBCX+GdDEWjqfYjthUyxqHAAAgAElEQVTTgeM4eL1euFwuqtkDEN+9c2xsDHv27MGDDz5ICWharRZ33nknbr755ox3nkwkik03TywQCODtt98GMC62LlmyJOlzhWKYTCZj3+H8hYlhjLnJl19+iW9961uinz80NMRfGBUKBXWTePXVV3Heeeel/RwZ6YPjOLz33nu48cYbYbPZ+ONNTU145JFHcMkll+TUYml0dBR2u53qspYqHJ6ESMd2dhQb/Ct06RQVFeX8AikQCMDpdFIlGhKJBE1NTdDpdFnpzskmotEoBgYG4PF44pwlEyF06eRzBzWxkM6d3d3d1MK8srISJpMJRUVFGTy7b5hpMUxYii3WpQOMC7AajQahUAinTp2iPkOtVguLxcJn7DCSk295YlMRUmUyWZyDcDLOrmQB8UqlEgaDgbmPRRCNRnH8+PG4RgVyuRzNzc1obGyc9XtzbFfsgYEBUUIq2eQpLS3lN3lmY95ENlo8Hg91DZVKpWhoaEBLSwvvchoYGMCuXbvw+OOPU0JubW0tNmzYgGuvvTajIlC6O08ODQ3h/fffBzDelXjRokVJn8vEsDkDE8MYDDGwzLD8YHR0FDt27MCOHTuoidbVV1+NHTt2oKqqKmcmqxzH4euvv4bdbqfei0ajgdVqhUqliuvsKKY8raioKK6zYz4LQ16vF3a7ncryUKlUMJvNqK6uzuCZZQ9T7cYnkUjiAu6ZSycxQ0NDsNvtVKlQNomz6RTDSMOEWJdOKmJLijQaDVW6MjIyAqfTid7eXurnamtrYTQas7K5QraRLE+svLwcZrM5K52zws6z5CFGSCXZTMJ7XTquTckE7uLiYphMJpYnJoJwOMyLs8L7jEqlgl6vR21t7YzdR0KhUJzrK9XcKVZIzYbOs5FIBD09PXHibCJh8fjx47jvvvvw3HPPUZ+32WzGvffei8svvzyj9+10iWL9/f34+OOPAYxvhlut1qS/LxKJQCKR8EJYpu/BjBmDiWEMhhiYGJY/cByHw4cP4+abb8Z7773HH6+oqMD999+Pn/zkJznlegqFQnA6nXGLFzGoVKq4nK+5uPsViUTQ0dERN/GuqqqC2WzO6mDzmSAQCMR1ChXTjU+pVCIYDFILQCLOMndOakjJmtPppEpuCgoKYDKZqA5hs81UxTDSMCE2mymVkCpcXJI/CwoKRL1/r9cLh8NBlVvJZDI+ky2Xru+Zwu/3w+FwZF2eGHHpCIUKMS6ddGUzTYbh4WG43W58/fXX1PHKykoYjcasFBazjbGxMbS1tcU1HdFoNDAajdMWFmOFeZ/PJyojtaioiBpP6RJSZ4JQKISOjg50dXVR192CggLo9XrKsWi327F582a8+uqr1GucffbZ2LZtG1auXDmr5x5LrCgmzA8TI4r19vbis88+AwAYDAYYDIakv4eJYXMGJoYxGGJgYlj+EQ6H8fTTT2P9+vXUhP+iiy7CI488Ap1Ol5WTG+EuOBEqxHQoUiqVcTlfc7k8LRHDw8Ow2+1Uhkaq8tNcZ6rlaWq1mtoJJ934gsEgXC5XnDhbX18Pg8HAxpwIwuEw2tvb0dnZSS3yy8rKYLFYMrKIFiuGxboq/H4/5VxNRGwpdqoOamKIRqPo6emBx+OhXBEkky3Xyv4yAXEfO53OjOWJCRtwkDGVqtyRZFrGunQy9e996tQpOJ1OqvlNtmZhZStDQ0NwuVxUNAQw+Q6opHx2Mt1CFQpFnJCai2HqyVyfRUVFMBqN1DVx37592LhxIz766CPqud/97ndx7733JnVUzQaxnScBJHWJxX7njx8/jkOHDgEALBYLmpubk/6OSCQCqVQKqVTKxLD8holhDIYYZkMMi0aj+PLLL/HBBx/gwIEDsNls6OzshNfrRSAQgEajQV1dHZYsWYIrrrgCV1xxRU7ekLMJEqZ+xx134KWXXuKPq9VqrF+/HrfccktGJ6qkNXdsZ8fJXkvLy8uxYMGCOedwmgrEneNwOKhFfHFxMSwWC8rKyjJ4dtND2OqdjCkxu+BkMSB06qT6XvT398Nut1PlbwqFAgaDAfX19UyIEMHw8DAcDge8Xi9/TCKRoKGhATqdblav/4nEsNjOsz6fT5QwH9swIVEoeboIBoPweDzo6emhjldUVMBsNmdNJls2E4lE0NXVhfb29hnNEyPjSShWiGnAQVw6Wq0WpaWlWZlpSXKc3G435fqUy+VoaWlBQ0MDW2yLIJGwCAB1dXXQ6/VUxttUymclEgk0Gg0lfuVbaX8yYbG0tBQmk4l3cXMch9deew2bNm2Cw+HgnyeVSnHttddiw4YNqK+vn9VzFyJGFIvtPNnV1YWjR48CABYtWpT0/GPFMIVCkXXXFEbaYGIYgyGG2RDDHn/8cdxyyy2in6/T6fD000/joosuSvu5zDWi0SheeeUVrFmzhrLjn3HGGdi9ezeWLFky45MhYfkHceqIyWWSSqXQaDSU4wtA3CJaJpPBYDCgoaEhryZ2M0UoFILH46HajwPjk26j0Zj1u/mxob9ixxMpTxMKFVPteEXcOW63m1pEa7VaWK1WaLXaSb/mXIN0WXM4HJQwoFQqYTQaZzQ7RwgRw2pqavC///u//DUq1bxOLpfHCV+ZyNIZHByE3W6nXMCZEhZzlUAgALfbnTBPzGQyQaPRiH4tYQ4heQwODooqd4wNuc+lf7tkjQpUKhWMRmNGS6FzBY7jcOLECbjdbkrckkgkqKysREFBAX+/ExtyH+twngv09/fD5XLB5/NRx6urq2EwGPiNgnA4jOeffx7btm3DV199xT9PpVJh9erV+NWvfoXS0tJZPXchyTpPCv+biGIej4ffzFmyZEnSXFgmhs0pmBjGYIhhNsSw3/zmN7j11lv5v5Og0IqKCsjlcvT29sJut1PZPXK5HP/93/+NH/3oR2k/n7kGx3EYGBjAhg0b8OSTT/KTKJlMhtWrV2PDhg2Tmuyn+l0kR0cYSJ6q/EMikfAB92QhUFxcnLR75IkTJ+B0OimHk1arxYIFC9L2XvIdn88Hm81G7UQrFAoYjcas6g42le5ppDxNKFZMtzwt2bnFdu4ExvOHDAZDTi1mMwVZRLe3t1OCZklJCSwWS9qFRVKeRsbSlVdeCa/Xi4qKCuzduzfhz8S6KrRaLQoLC7PmO0Jcny6Xi1pEM8fi5JhKnlgoFKLGk5hQcrLRIxQrpirMZxuBQAAejycuC6ukpAQmkymj4kIuEA6H0d/fj66uLvT394tyy5PyWdLdcbLdQvMRUgrtdrspV69EIkF9fT10Oh2/eTEyMoInnngCDz/8MCWglZWV4de//jVWrVqV0c8zmShGrhdSqRROpxMdHR0AgOXLl6O8vDzha0WjUUSjUV4MUyqVeXHdYSSEiWEMRrbw1FNP4c9//jOuuOIKXHDBBVi0aFGcyOH3+/G73/0Ora2t/I1Lo9Hg6NGjmD9/fiZOO+/gOA7vv/8+brzxRt5ODYx3ntm1axcuvfTSSd8Uhbkn5JEqRwcYL0MRunSmsmsZCoXgcrmoSbdEIkFjYyP0ev2c2QWdDqSc1u12UwJTaWkprFbrrGc4hUIhKjfO5/NRpTfJIOOJLARmexf81KlTsNvtVGlmNgqL2czo6CicTmdcKPd0Mtliy4n8fn9cedoNN9wQJ4YVFhZSQqpGo8mJ3fNkDTM0Gg3MZnNOl0LPFhPlibW0tKC0tJQaU2LKZ8l4El6fcmE8TYfBwUE4nU4qpxIAampqYDQaWbQBxsfa8PAwBgYG+PudmO6zEokEpaWlqKmpydry2WwhGo3i2LFjaGtro+amMpkMTU1NaGpq4htOeL1ePPjgg3jqqaeo5zY0NKC1tRXXXHNNRueVE4liNpuNnwufe+65STeFmRg2p2BiGIORi7zxxhu47LLL+N2wTZs24d57783wWeUXY2NjeOCBB3D//fdTQsOPf/xj7NixA9XV1QlvjsFgMC7nS0wgeUFBQVxnx3Q6Zvr7+2Gz2SghQqVSwWKxoKqqKm2/J58JBAJwOBw4efIkf0wikaCpqQk6nW5GJoCxuUwkNy4VpHuacExlgwMrGo2iq6sLbW1tVJlQSUkJrFYrcyyKJFHHRLlcDoPBgPnz5yeduJOFpVD4EtONj4hh1dXV2L9/f9aMp+kwOjoKl8tFfZ8BYN68eTAajXPeNSKGcDiMtrY2dHV1TSrLMjaHsKSkJOfH01QhpdAul4v6PkulUjQ2NqK5uXlOfTZCVyp5pAq5l8vlKC4uRigUirs/lpWVwWg0so7GIgiHw+jq6oor41UoFNDpdJg/fz4vKHZ1dWHLli144YUXqO/+woULsXXr1iltHKcTIoiRzUO/34+vvvqK3+j51re+ldS5TMQwmUzGd8pmYljewsQwBiNX+fa3v4233noLAHD++efzZZyM9MFxHI4ePYrVq1fj3Xff5Y+Xl5dj+/btuPLKK7F//3589NFH+Pzzz3H48GG0tLTgjjvumPB1FQpFXGfH2cjRiUaj6OjoiCu1qqmpgdlszkiWTy7i9Xphs9ko94xKpYLZbE6aQSEGIlTEls+munfKZDJKRM109zQxjI2Nwel0xgkRDQ0N0Ov1c2rxN1WSCYsajQYWiwWlpaUYGxuLK59NtbAUduMjf55++umiuknmIqdOnYLD4aDcJlKpFC0tLWhqamLuWQFT7Raa76Hk6YC4czweD1VCqlAooNfrUV9fn3fOpqk0TRCW95OHUNQYGBiA0+mMy8KaN28eDAYDc9uJIBgMoq2tDT09PdT8Q61Ww2AwUNl2hw4dwubNm/H6669Tr3H++edj27ZtOOuss2btvIXZuwMDA0ldhBKJBBdeeCHkcnnCzpOxYhibG+c1TAxjMHKVu+66Cw8++CAAwGQyUd1eGOklEongySefxLp16/jsKJVKhXA4HJfLVFdXhyeeeIL/u0wm4wPuyeIy0wuB4eFh2Gw29Pf388fkcjmMRiPLzREJKbVqb2+nJotVVVUwm80pJ9wcx1E5X+QhJucrdjzNRM7XbOH1emG326kyKqVSCZPJhHnz5uXs+5pNAoEAXC4XFW4MjAs6qRomAOOdUoUOnUTlRIm6SeYTpBQ6VohQqVQwmUxJncD5TDQapVyEYrvPJhp3E+WJMWhCoRA6OjrQ2dlJ3VuKiopgNBrT1r1ztiFZqbFNE1JdowoKCijhS0z3WVLG63K5KHGNRES0tLSwDRcRjIyMwO12x21aabVaGI1GKnPrnXfeQWtrKz777DPquT/4wQ+wefNmGAyGtJ8fEeeJ8OXz+VLOoeRyOZqamtDc3AyALqMkD6EYRsokGXkLE8MYjFzlzjvvxK5duwAAZ511Fvbv35/hM8ofOI6Dx+PBp59+yj8+//zzlLkncrkcer0ev//971FRUTFjgeTpgLR6dzqd1OKvpKQECxYsmPUcrFxleHgYdrudynyRSqXQ6/VobGzkRQWho4L8KSY3jjRMyLVcpskQjUbR2dmJtrY2amGUqUy2XCAajWJoaIgaT2KECuHCkowrkgUzEfkuhhFIF9lYR8RUOibmEkJxXuj6SiVUkG6hQhehQqGYME9MeF1kJCdZGW+ujMVwOEy5CMXc84SuVGHThKlCOhq3tbXFNZ/S6XRoaGhgY1EEPp8Pbrc7LtuuoqICRqORH4scx+Hll1/GPffcA4/Hwz9PLpfjF7/4BdatW4eampopnYOwxJ+IX2LuecXFxVTTBLJRSa7v5N9f2HkyGo2C4zgmhs0NmBjGYOQqy5Yt4wWwW265Bbt3787wGeUHq1evxgsvvEC5ppJRXV2NiooKSCQSaLVabNmyBeecc05Wil/JCAaDcDqdlKtEIpGgubkZLS0trERIBKRLncPhoCb7SqUSxcXFGBsbExUgTYQKYQntXNq9ThQOT3bydTqdKNEmH5mqo0JIQUEBjEYjamtrp3QOc0UMIwwNDcHhcMQt/vKljHcqQkWq8rRYIpEIurq60N7eTpXmqtVqmEwmVFVV5dS9MlMkK/urr6+HXq/PihIuYYn/ROVpsajVal6oKCkpSdode7oQt11XVxd13UxU9sdIDMdx8Hq9cLlccf+2tbW10Ov1vNAUCoXw7LPPYvv27ejt7eWfV1RUhDVr1uC2225LKeYKO9CS5gmpXF8ki1AofiWaN5CQffIQlkmS/yZimEwmy/nrPWNCmBjGYOQiTzzxBG6++WYA4wvuQ4cOwWw2Z/is8oPrr78ezz77bNzx5uZmLF++HMuWLcPSpUuh0+nwwAMP4Le//S21w3TTTTehtbUVxcXFOTW5OnXqFGw2GyXaqNVqWK1WVFRUZPDMspvY3cre3l5qBzoZcrk8rmECC+wep6+vD3a7nSpvKSgogMlkmhOLFuEigAgWqcZUrFChVqtx/PhxHD9+nHpedXU1TCbTpHNz5poYBox/t3t7e+F0OqmxmGsZThzHxbkIxQgVKpWKEr6m2n02EAjA7XbHjcVccThlA2TDxeVyUW47mUyG5ubmWc+2E3bInkx5Wqzra7YdN2NjY3C73XEl5VqtFiaTiXWSFQGpKvB4PNRYlEqlaGhooEpQh4aG8Nhjj+HRRx+lrjmVlZVYt24drr/+eiiVSuoaReZSqTYQyT1PKKZONoJE2HmSiGLBYBBffvklPv30U3z55Zd4+umn2dwsv2FiGIORC0QiEfT39+Pzzz/H3r178ec//xnA+M1n7969uO666zJ7gnnEk08+iXvuuQfLli3jH0uXLk3YcZHjOHz44YdYtWoVjhw5wh9vbGzErl27cNlll+XUwj0SiaC9vR0dHR1UiVBtbS1MJtOct4oTh46w3FFMIDkwPnErKytDbW1tSkcFY3wsdnZ2xjV7KC8vh8ViQVFRUQbPLn1EIhGqW6iYAGlgXKgWlqYlEyr8fj/sdjvlKplKOPxcFMMIyRxOxcXFMJvNVG5ONiC8RoltmhArzs9EUxe/3w+Hw4GBgQHqOMsTE08kEkF3dzfa29sp8amgoAAGgwG1tbVpv68IS7LJQ4zTOdZFmE2REYODg3A6nXHOz6qqKhiNxry5v8wkkUiEL0EVjkW5XI7m5mY0Njby95eTJ0/igQcewN69e6nnNjQ04Prrr8eSJUtSNgpSKpWU8CUmO24iiBB2/PhxfPLJJ/j444/x6aef4uDBg5TId+DAAZxxxhlT/j2MrIeJYQxGtrJ06dK4IEohK1aswIMPPohvfetbs3hW+U8kEoFUKp3UpG1sbAw7d+7E9u3bEQgE+ONXXXUVHnjggZwLXx4aGoLNZqMWLQqFAkajEXV1dTn1XqZDMBiME74mk/MViUTg9XqphSjLwZocIyMjcDgc6Ovr449JJBI0NTVBp9PlVBmvsNPVZLqFku6zQqFiMsIB2cl3uVzU+FWr1TCbzaICueeyGEZI5iqZqtsuHUQikbhyR+E9KBHEURHbNGE2rusk2JzliU2PYDAIj8eDY8eOUdcPjUYDs9k8LYdTbEm2mOw4pVIZF3Kf7WXtycr+JBIJ6uvrodPpsqIENdtJVoJaUFAAvV6PefPm8e75w4cPY/fu3XjnnXeo19Dr9fjZz37Gi06kUZBQ/FKpVFO+RpHvSCAQwIEDB/DJJ5/g008/xSeffIKenp4Jf/bJJ5/EqlWrpvR7GTkBE8MYjGxlIjFs0aJF+K//+i9cc801bDc1S+A4DjabDTfddBPeffdd/nhZWRm2b9+Of//3f8+pST7HcTh27BhcLhe1k1dWVgar1Zp3O6fEoSNcAIhx6KhUqrhyR+EiIBAIwOFwUCHIuSrmZJLe3l7Y7XZqAZ3tnf6E3ULJn6lKiaRSKTQaDSV8pav7bCgUQltbG7q7u6kFdGVlJUwm04TfaSaGfcPAwADsdjvfWRgY/3dramqa0ZxFYUk2GU9DQ0MpxdSpdOObaVieWHoYGhqCy+WiNguAcYHWaDSisLBwwp+fqpiaKOQ+V/+9iDvI4/FQ7z1TJai5ytjYGDweT1w5dCLcbjf+8Ic/4Msvv6SOn3feeWhtbcXKlSvT4vrq6enBJ598wotfBw8eTDm+W1pa+EiUlStXYvHixRnZ6GDMGkwMYzCylTVr1sDpdAIYX8T09vbCZrNRiymj0YgXX3wRixcvztRpMmKIRCLYu3cv1q5dS4XwX3DBBXj00UdhMBhyatIYCATgdDpx4sQJ/phEIkFLSwtaWlpySuAjRKNRflFJHF9iFpWkc5pQ/BK7c+z1emGz2SiBTaVSwWKxJCzBZcSTrIy3oqICZrM5owJt7KLS7/dTwl0yiItwpgOkhQwNDcFut1PXp1QCLRPDaMgC2u12U267dGbbTUVMlclk1HjK9ixClieWHrxeL5xOZ5zDqaGhATqdDgqFgnKmkoeY+x4pyRZmx+XifT8VpDS/o6ODEmiJw2kuueLFEo1GqU3EgYGBlPc9suGj1Wrx5Zdf4qGHHsLhw4ep51x99dXYvHkzmpqaUp4DGb9jY2P44osveOHr008/xbFjxyb82cLCQpx11llYsWIFzj77bKxYsQK1tbV8dQhxuuXjeGfwMDGMwUjG888/j2uvvTbtr/vss89OOeNreHgYf/rTn7BhwwZ+J7C0tBT79u2DxWJJ41kypgNxVd1xxx34n//5H/64SqXC2rVrsWbNmpyz3ycKNS8sLITVas26zBwhsZ34iPiVquxjJhw6kUgEHR0daG9vpxYgVVVVMJvNbPdRJMPDw3A4HPB6vfyx2eyAOtVAcmEpUaa7hZJAbqfTSe2UJxNzmBiWmFAohPb2dnR1dVHf6dLSUpjNZmi1WlGvE+tM9fl8osRUkstErlG51riFkCxPrL6+HgaDgTngRZBMoJVKpVCr1QgEAqLEVKHwlYmQ+0wTCATQ1tYWV4JaXFwMo9GIysrKDJ5dZplKCW0ssbls0WgUL774IrZs2YKuri7+eUqlEv/5n/+Ju+66i/rMSeB9d3c35fo6dOhQyhgLvV6P5cuXY8WKFVi5ciVOP/10KJVKJnbNbZgYxmAkIxvFMEJnZyfOPfdcftfjvPPOw3vvvZeGs2Okk2g0ir///e+49dZb0d3dzR8/7bTT8Jvf/AZLly7NqYVLJBJBW1sbOjs7qUliXV0dTCZTVrSfju1y5ff7RXV3TJShM1MTpOHhYdjtdiq8VyaTQafTscwckSTLHkq32y62aQLJ+UoVSE4cOsIxVVBQkHXf92Ruu7KyMlgsFj7bjolhE5NIoAUSizlTdejkYi7TZCDfaZfLRW26sDyx1Ajdzv39/fB6vaLue0VFRfx4Ki0tzaqQ+0wzPDwMl8uF3t5e6vhccS3GCvQDAwMpSwylUim0Wi2f9aXVauHz+eB2u6mmCxKJBOFwGAsWLEBjYyOAcRFyz5492LlzJzU30mq1uOWWW7BixQocOnQIn3zyCfbv3x+X3RhLUVER7/pauXIlVqxYgZqamklnAjPyHiaGMRjJePnll3Hrrbem/XV37dqFq666atqv8+KLL+Kaa67h/37w4EGcfvrp035dRnrhOA4+nw+tra144oknKNv1jTfeiNbWVmg0mpy6OQ8ODsJms1Ed6hQKBcxmM+bNmzdr7yUcDvOTNSJWiHFTqNVqSqjIRIYOx3E4ceIEnE4ntZtZXFwMq9WK0tLSWT2fXCWZQFtZWQmLxTJpt10oFOLdg2QRIKZpQqxDZybF1JkgWaMCUma1YMECJoaJoLe3F06nk1r4yWQy1NTUoKCggB9XYrLjYnOZslFMnQlYnlhqSAmt8CHWoaNSqdDc3Iza2tq8ElNniv7+fjidTvj9fup4bW0tDAZDVpchiyXWQU/mVGJLaIn4lazMPxqN4tixY2hra0MwGATHcdi4cSPcbjeuu+46tLa2oqysDBzHob+/H1u2bMEf/vAHUfdegtFopFxfixYtglKpnPPXCkZKmBjGYOQqY2Nj0Gq1/O4f63iS3XAch3379mHVqlVUPkJDQwN27dqF73znOzl10ybhpG63m1rYlZeXw2q1pgzunSykvbvQ8SWmNE2hUFBladlW9hEKheDxeCjnIMDKgybL0NAQHA4HtaMslUrR0tKSNACZ5J0Ix9Tw8HDK36VSqeKy4/IlYLm3txcOh4Ny5iiVSvziF7/AyZMnmRiWgmg0Cp/Ph87OTvT19aVcTBKIQ4e4KnJNTJ0JWJ7YOFMpoSXd+Mj9rre3N6/FnJmGlJW7XC7qs5dKpWhsbERzc3NWOOPFEptxOTAwkFJ4Im5nYYfHyc5PwuEwurq68Oc//xlbt27lj5eUlOCSSy7B8PAwPv/8c6rhUCJUKhWf80VcX6SRTi7NoxlZARPDGIxcpq6ujrcK33fffVi/fn2Gz4iRirGxMTz00EO47777qEnVj370I+zcuTNrO+MlY2xsDA6HA19//TV/TCqVQqfToampaUoLOo7jMDo6Sjm+BgcHReV8xZam5UqXK5/PB5vNRnWoUygUMJlMqK2tzYn3kGmS5WCp1Wo+YF+46y1mTMnl8rhA8lzL+5ssJEi6vb2d/3xuuOEGeL1e1NbWwu12Z/gMswPhdUpYQptqriuRSFBaWory8nJ+TOXSQnq28fv9cDqdVMMHID83DKY6pohALwy5Fwr0HMfxrkWh0E26oDY3NzOXmAhIVlVbWxu1CahQKKDT6TB//vysE7Fjx9TAwICosuzCwkLK9TVdgZ5kfbW3t+PNN9/Eyy+/jA8//DBl5AAw7ryO3fxcuXIldu7cifPOO2/K58RggIlhDEZuU1xczDsZHn/8caxevTrDZ8QQA8dxsNvtuOmmm/DOO+/wx0tLS3HffffhZz/7WdZNqFLR29sLu91OCXxiS/4CgQDlzhFTRiSRSPicr1wtTYuF4zh0d3fD7XZTE8TS0lJYrVY+v4kxMeFwGC6XCz09PZP6OaGbgoypwsLCOStEjo6Owul04uuvv+bFsIqKCvzjH//IOxFCDKFQiBJTfT5fylwmqVSKwsJCBINBynlBune2tLQwEUIE+Wpoi68AACAASURBVJonRsqyheKXmDEVG3IvVqCPRqPo6emBx+Oh7rFKpRIGg4F1TBRJssYZhYWFMBgMGd3UDIfDcWMqletLuOlTWloKrVY7res7+UyGhobw+eef4+OPP+azvoQZbJWVlaioqIDD4aB+XqPR4PLLL8dPfvITrFixApWVldi3bx/uvvtufPDBB9Rzv/e97+H+++/HwoULp3y+jDkNE8MYjFzls88+w9KlS/m//+Mf/8Bll12WwTNiTJZIJIJnnnkGa9eupcq7zj//fDz66KMwGo05NTENh8PweDxURyAAmD9/PgwGAxQKBT9RE4pfYnO+hCJF7M53PjE2Ngan00mVCpDFs06ny9v3PVViy4j8fj+1YE5GYWEh5foqLi5mn20CvF4vlixZgr6+PlRUVGDv3r2Qy+UwGAyYP39+Tl2jxBJbQuvz+agcsGQQNwW5Vmk0GkilUnAch6+++goul4tamCqVShiNRub+FEku54kJu9CSh5iybGHIfbo2fUKhENra2tDd3R3XMdFkMqGiomJarz9XGB0dhcvliivrKy0thdFonPHsz0TNOITu8mSku3ECcX15PB6+u+Mnn3yCI0eOpHR+Wa1WmEwm2Gw2OJ1O6v995zvfwY4dO3DGGWfwv+fvf/871q5dC5vNxj9PKpXiuuuuw7333ov58+dP+X0w5iRMDGMwchGO4/C9730Pr732GoDxG1tfXx/LfshBSDv0O+64A3/5y1/44yqVCnfffTduu+22nCvL8vv9OHr0KDUpk0qlUCgUKbsRAeMLRGEe03R3KXMVr9cLm81GCTvp7paYa3Acx3dNI0KFmJKPWNRqNaxWK1v0iYR0kyRiGEGj0cBsNqOsrCyDZzc9EoVHiymhFeYRkoVlqnLHcDiM9vb2uIYPJSUlMJvNKCkpSct7yncCgQA8Hg/fUZtQVlYGs9mcFXliwpB7cq1KJQzI5XJKpJjpEtrh4WG43W4q5gAYd+wYjUbmRhaJz+eD0+nEwMAAdby6uhpGozFtGarhcDiucUIqJ2G6xxS5bg0ODuKzzz6jXF+x3XRjKS0txbJly7B8+XKcffbZOPvss1FeXs4Lcf/85z9x991349ChQ/zPSCQS/PKXv8STTz7JHwuHw3juueewadMm6hqgUqlw22234e67787pexJjVmFiGIORDRw5cgSPPPII7rrrLhiNxgmf6/P5cMstt+D555/nj23YsAHbtm2b6dNkzCDRaBSvvvoqbr31VspZddppp2H37t1YtmxZ1u54A/QOpTDnK9V1n4SyCsWvXMn5mg0ikQg6OjrQ3t5OfZbV1dUwm815L4CPjY3FldCmWlAmyo6TyWS8E0JITU0NTCZT3n+O04WIYbW1tXjllVfi2trX1tbCaDTmhHAfW5rm9/tTlhEJS2jJQ61WT/k6NTIyAqfTSZUMAeM5oAaDISc+x2xgcHAQDocj43lixEkoFClSuVNJqb9wTGWqLLu/vx8Oh4PawJJIJKivr4der5+Tm1GTheSyud1uyvFHuvK2tLRM6nMUbvyQh5imQWRMkayv6Y4p4vpyuVyU6+vo0aMTbhhIJBJYrVasWLGC7/BotVohl8snPJ9IJII//elPaG1t5efC69atw/bt2+OeOzIygt27d+P++++nupuXlZVh/fr1uOWWW9i9nZEKJoYxGNnAgQMHsHjxYgDAkiVL8G//9m84/fTTUVNTg+LiYoyMjKCrqwv79u3DSy+9RO0+LV++HG+//Xbau/eNjIzgnXfewVtvvYUvvvgCdrsdXq8XEokEZWVlWLhwIf6fvTOPbqs61/6jwZZla/A8z5Yl2Ukgox0nbUKhQMtQ4LaUctssEvoRAkkIZCqkl5CEhAKBhBtDWyhtKKSQ0vEWGgq0UG4J1EMcMhBNlmfH8SzLkyxZOt8fXufcsy3bkm3JGrx/a3kl3tGRt5Wto7Of87zPu3btWmzYsAHp6ek+/dnzFYZh0NfXhyeeeAIvvvgid6EhFAqxceNGPPHEE5DL5UEhFI0XKaxWq8ecLz7JycnIy8sLmt8n2BkcHIReryfKaUUiEfLz80M2L2c8/KwT9k9vnIT8kg+FQjFpe3dgbPOs0+mIC+dwex39ASuGsd0kLRYL9Ho9sXkOxteR7ULLX1PelKaxZdn8QHJ//E7d3d0wGAzEnILxdQxmJguH99frOJGT0Gq1erzxI5FIiDUVbF1oGYbBlStXYDKZiPMum8uWlZUVVPMNVlwuF1pbW1FXV0eI7J5eR34mIfvl6ZqKdafyXV+zySBk13BfXx/OnDmDyspKTgAbLziPJz4+nnN9lZWVoaSkBHFxcTPu8Giz2fDSSy/h5ZdfRmVl5ZQlp93d3fjJT36C8vJy4jXPysrCk08+iR/84Ad07VImg4phFEowwBfDpsMtt9yCN954w6e5BO3t7di2bRveeecdrzJSIiIisHPnTuzbt4/ePfQRDMPg3//+NzZt2kTYxTMzM3H06FF885vfnFMBiXVS8IUKb0QKNj9HLpdzWS98S79cLkdRUREtDfISdrNiNBqJCz5vGxUEEy6Xy+2utzciBbuh5DsJp3vxz5Ymm0wmYj3GxMRAq9UiPj5+2r9PuDNeDAPGXseWlhbU1tYSm7aYmBhoNJo5L0FlGIYoTWPPVd50DOULFEqlck4/yyYLNY+OjuZysCiecblcaGpqQl1dnU/zxGYSSM66U/niV6g4VNhusg0NDcTrGBUVhcLCQqSkpNAbWF4wOjqKhoYGNDY2EuegqKgoFBQUQC6XT+vzb7yTMDY2dlbuVGDsnOl0OmEymVBRUcG5vnQ63ZTirlAoRHFxMUpLS7lyR61WC5FI5PO14XQ6vRayGhsbsXfvXrzxxhvE/BctWoSnn356zq+dKSEBFcMolGDAYrHgueeew3vvvYdz585NWQYkFApx/fXX48EHH8S3vvUtn8+luroaK1asIMYEAgHy8/ORmpoKkUgEk8nkVibzzW9+E3/+85+pIOZDbDYbnn/+eRw8eJAImf/2t7+NZ5991i8XpfxyD3YD4I0oGhkZSWwoJ8qlcDgcMJvNbqVqWVlZUKlUtKualzgcDtTW1rp1S8zIyEBhYaFfM2ZmwngnBSusehIp2BJa/rry5YZystcxNTUVarWalqrxmEgMY7Hb7aitrXXLb0pOToZarYZUKvXLnGYiUgRTadp4JnsdExISoNFoEBMTE6CZhRazyRObaWkav3EC24wj1F19k72OSqUSarU6pG6+BBKbzQaTyYQrV65M6zj+NRW/3H+msHtwi8WC6upqzvVVXV3tlnU2noSEBJSUlHDiV0lJCZRK5YxdX/7m/PnzeOyxx3Dq1ClifO3atXjmmWdQWloaoJlRghAqhlEowcbg4CDOnTsHs9mM9vZ2DA8PIzo6mutOs2TJEr+Gw7JimEAgwLXXXot7770XN9xwAxITE4nHffLJJ3jwwQdx6dIlbmz37t145pln/Da3+QjDMDAYDHjggQfwz3/+kxuPjY3FwYMHcc8998z4opu98Oc7vrzN+RrvzpFIJF5fFFksFuh0OmKTIZFIoNVqkZycPKPfZT7S19cHnU5HlKpFRERArVYHtDsdW+7BX1fTESnYdTXbDlfe0tfXB71eD6vVyo2JxWIUFBQgMzMz5De1vmAqMYzFarVCr9cTJahCoRB5eXnIycmZ9UaO34nParV6JVJERUW5lTsGe7mM1WqFwWAgNqgCgQDZ2dnIy8sLOrE7WJkqT6ygoAASiQR2u93NSeipNI3vJGTPV+F8E7C/vx9Go5Eo0QfG8hYLCwv9JnaHKvzSbG870Y7PJIyNjZ11dirr+jIYDJzrq6qqCnq93qPra+HChYTrS61W+8X15W/++c9/Yvfu3aiqqiLGv/Od7+DQoUNQq9UBmhkliKBiGIVCIampqcFTTz2FAwcOoLi4eMrH9vX1YdWqVZwgFhkZiaamJqSkpMzFVOcVTqcTr732Gnbv3k1clH71q1/Ff//3f0OtVk95ocIvIeKLFJ7CyPkXaaxI4QsnBVvSYjabCYdQUlIStFptyJSUBBq2xKq2tpb4v4yLi4NWq/V7N7CZOgmlUinh+gq0SMEwDFpbW1FbW0uUToZiCao/8EYMA8Zex7a2NphMJkIAnW6pGj+T0NtzlVgsJgR6pVIZsu4+hmHQ3t4Ok8lEuIIjIyOhUqmQnp4echvTQDBZnphAIIBYLPbYiQ8YK+dXKBQ+CyQPRRiGQVdXF0wmE1HOJxQKkZ2djdzc3Hkr0trtdlgsFkL88uR6FggEboIUX6SdLuxz9fT0uLm++Dd5JiIxMZELuV+5ciVWrFgBhUIRtK6v6cIwDP7whz9gz549xGeXSCTCxo0bsXfvXqSmpgZwhpQAQ8UwCoUyOz744APceOON3PevvvoqfvjDHwZwRuELu9HcsWMHTp48yY1LJBLs3r0bjzzyCHch1dnZiU8//RQVFRXIy8uDVqv16M4BxvJ++BtKfwVHswwNDXHNGVhEIhFUKhWysrLC4mJsLrDZbDAajWhvb+fGBAIBcnJykJ+f7xOhaaYdQyMiItxEimB1UkxWqpaeno7CwsKgnbe/8VYMY3E4HFz3Tv76mKjkz+l0upU7esokZJ2EfEF1rpyEcwnbTbahoYHYYMvlcmi12nkv0k7G+Pw4i8XiVcj9+NK02QaShxtsOLzZbCaExIiICBQUFCAjIyOsnbQz7RrKnqdYQVUikaCtrQ21tbXEuU4oFKK+vh7f+c53pnxvMwyD0dFR6PV6wvVlMBimnItIJMKiRYsI15dKpQpJ19d0cTgcePXVV7F//37iOik6Oho7duzArl27/Fp1QwlaqBhGoVBmh9PphFwu5y4Idu7cicOHDwd4VuGNy+XCqVOnsGXLFjQ2NnLjCxYsQFJSEkwmE7GZv/7667F582a35xkfRi6XywNyd3eyYHiFQoHi4mJ6gTINurq6oNfriQv0qKgoaLXaaQdxj4yMuLlzPJUQsRf+fJFitiG/gWCibolisRgqlQqZmZkh9/vMlumKYSwDAwMwGAxuJVYJCQmQSCTo7+/HwMBAyHfi8zfDw8MwGo3o6OggxlNTU1FYWDjvnbQzEVT5xMTEQK1WIyEhYd69t2eCw+FAQ0MDmpqaCJE2JiYGhYWFSExMDIvXcaKuoZ5cX/zS7NjY2ClvKLKNhRoaGjA6OorGxkY88sgjUCqVeOSRR7B161bumqy7u5vr7FhZWYmamhqPrq/k5GSUlpZyHR5XrFgBmUwWNq6vmTAwMIAjR47g8OHDXKm9VCpFbW0t0tPTAzw7SgCgYhiFQpk9aWlpXDjoxo0b8fLLLwd4RuGL0+mETqdDRUUFPvvsM7z77rtuG6Tx5Obm4sUXXyTcOb4OI/cFDofDTchjs3IKCgrm1eZ3NjidTtTX16OhoYEQGZKTk6HRaCb8f+dvJtk/+eVZk8EPjp4LJ+FcMlm3xPnYBXWmYhjrzmlra0NnZ6dH0Qvwf+OEUKanpwcGg4HISxOJRMjLy0N2dva8OEfyHar8kHtPa0sqlXJrKiIiAi0tLW7B4bMpVZuPDA8Pw2QyEU4bAIiPj4darQ6pG1kul8tNUPX0GeirrqF2ux11dXXYtGkTkW+VmZmJq6++GgaDAbW1tVM+h1gsxtVXX42SkhLO9cW6wuer8DUVHR0dePLJJ/Hzn/8cu3fvxqFDhwI9JUpgoGIYhUKZHcPDw5DJZNzdsv/6r//Ck08+GeBZhQ8OhwN//vOfuTuC1dXVHltwR0REID09HQsWLMC1116L1atXY9GiRSFzQdTb2wudTkf8njN1N81nBgcHodfrCVeOSCRCfn4+4uPjiXKPwcFBr0uI+KLqfMiJsdvtMBqNbh10MzIyoFKp5kXppDdimNPpdCsh8kZQFYlESEhIQEJCAteJL1TOVYFgslK16eayhQpsQw7+lyeHKtvkhf81/n06WZ4Ye47Mzs4OG2Hf31gsFhiNRqJ5BhC84iJbRsvP+vKmjJYvqLJu+tmsEfbndXZ2orKyEp988gn+9a9/4cKFCx6PTU1NJVxfy5cv50rFw+n972/MZjMSExPn1c0tCgEVwygUyuw4efIk7r77bu77v/71r7jpppsCOKPwwul0Ii4ujijX4iMQCFBcXIxly5bBYrHg/PnzaG5u5sKm77jjDhw+fBipqakhdYHkcrnQ0NCA+vp6oiwhJSUFGo0m6C6ugxWXy4Xm5mbU1dV53EDyGX/Hm3XnhNIa8jW9vb3Q6/WEKyciIgIqlQoZGRlh/dqMF8Nm6s6JjIyETCaDzWYjGi0IBAJkZmaioKBgXgisvsDhcMBsNqO5uZkYj4+Ph0aj8XvzDH8wk058ALhOtDPJj2ObudTX1xPnSKlUisLCQiQnJ4f1e9tXTNb0QSQSITc3d9YdZWcDK9TzxS9PZbRCodBNUJ3tdQfDMHA4HPjyyy9RUVHBhdybzWbicdnZ2QCApqYmYlytVmPTpk249dZbkZubS11fFMrsoWIYhUKZOaOjo1i6dCl3Fys5ORlNTU1UqPAx1157LT7++GMAYxdJJSUl3NfSpUu5UgSGYWA0GvHAAw9wjwcApVKJgwcPYv369SF3p3twcBA6nQ69vb3c2HzObvKEw+GA1Wolyj28aZzAbiZZASwmJibk1spcMFn3TqVSCa1WC4VCEcDZ+Q9WDEtOTsYf/vAHr9w5E5UQSSQS7j3b2dkJg8FAuHIiIiJQWFhIuyVOg/7+fhiNRsIBGiri4kwymSIiIogwcl+F3E/WPCMuLg5qtTps39u+xul0orm52U1clEgkUKlUSEtL8+t7m2EY2Gw2QvjyptELv+Q/NjZ21p+B7M/r6OjgujtWVlbi7NmzHt396enpKCkpgUwmw8cff0ysSYlEgoceegh79uyhDTQolNlDxTAKhTJzDh48iMcff5z7/tixY9i6dWsAZxSefPDBB7Db7VixYgVSUlI8Pt7pdOLXv/41du/eTXRpXL16NY4dOwaNRhNSG022i6bRaCTKgpRKJYqLi0PSAeELxrsorFarx4tswL2tu1gshkaj8fsmJZwYGRmB0WjkshJZMjMzoVKpglqA8MREHdP+8z//E93d3UhISMAvf/nLCY+LiYlxc+d42kw6nU40Nja6OUCVSiU0Gg0tXfEShmHQ0dEBo9FIuHLYLn/BcOOA787xNpdwfEOO2NhYvztU+/v7YTAYiBswQPCW/AUrbA5WS0sL8Xkjl8uh0WgQFxfnk5/jdDrdymg93QDypox2ujAMA7vdjosXL3LCV1VVFerr66c8LjIyEkuWLOGyvsrKyrgSXYFAALvdjpdffhn79+8nrufi4+Px5ptvEt3cKRTKtKFiGIVCmRnvv/8+brrpJm4Ds2rVKvzv//7vvAjwDQXYDo07d+7Em2++yY1LJBLs2rULjzzySMiFUk+U3SQQCJCbm4u8vLywXnsMw2B4eJgIuO/v7/foohCLxUTGFz88ery7KS4uDlqtdt6KizOhp6cHer2eECEjIiKgVqtDQlzkr6upXBQ//OEPCTEsMjLSrYx2NgLgZEHc8ymXzRdMJi7KZDJotVqfCRCe8HZdjYffiY/NZArEeX2qPLH51KzAFwwMDMBkMqGrq4sYT05OhkqlQkxMjNfPxa4rvuvLm/Ls8UL9bHMJGYbhykIrKiq4Do9nz54l1stEZGZmorS0FKWlpVi5ciWWLl3KdVyeak59fX14+umn8cILL8Bms0EikcBoNHIllRQKZUZQMYxCoUwfnU6H1atXc3dO4+LicPbsWeTk5AR4ZpTxuFwunDp1Clu3bkVDQwM3XlxcjPLycpSWlgb9hn08PT090Ol0RJaMVCpFUVEREhISAjgz32G324lSR6vVSrjiJkIgEEAulxMiRXR09KT/vzabDUajkRAgBAIBcnJyuC5UFM+wmUN1dXWEuBgbGwutVhtUHdX4YeTs+vK0roRCIe699150dXUhNTUVFy9e9Js7p7u7GwaDgRAX2bLojIwMWrrrJTabDSaTyc25mJKSgsLCQkilUp/+PLY8my9+eVpX47uG+iKTydfQPDHf0d3dDaPRSGQuCgQCZGVlIT8/f0IxfXR01M315WldicViN9fXbIR6du9qt9tx/vx5ouRxfKbXeCQSCZYuXUp0eMzKyuJcXzOhqakJ//Vf/4WsrCzaAZFCmT1UDKNQQoETJ05g3bp1Pn/e48ePY/369dM6prm5GatXr+ZCe6Ojo/Hhhx9i1apVPp8fxXf09fVh3759OHbsGOcYEAgEuO+++7Bv3z4oFIqQuqh3Op2or69HQ0MDcVc4LS0NarU6pJwkbPkQfzPp6e4yQHa2UigUM3ZRdHV1Qa/XEz+Tdu+cPpOJi1Nt9vwJW+7IX1fehJHzs3PYdbVmzRq0t7cjJSUFn376qd/n3dzcDLPZTIiLc+1uCgd6e3thMBiIBixCoRC5ublcAPd0YRjGLeTem/JsX7tz5hKaJ+YbGIbB5cuXUVtbS5QyisVi5OXlISEhgThf8YWzyZhN84TJ5shGM7Cur6qqKpw9e9ZjWS+b6coKX0uWLOFuHPh6rTMMEzLvHwoliKFiGIUSCgSLGNbe3o41a9bAaDQCGLvr9c477+D666/3+dwovodhGFRWVuL+++/HuXPnuPGMjAw8//zzuOWWW0Lu4mpgYAA6nQ4Wi4UbC+YQboZhMDg46HbB7+nzkQ2N5pc8+lLwm0xcTE5OhkajCbmS2kDS3d0NvV5PCE+RkZFQq9V+6+rKhkaPL0vzNoyc79AJlryzkZERmEwmoiwaAFJTU1FYWEjXpJcwDIPW1lbU1tYSrpqoqCio1WqP7qaRkRG3kHu+SDkR7LryVRltsDBZnlh6ejpUKlXQOduCldHRUdTV1aGpqcnjZx+f8etKqVTOqnkC+7NHRkZw7tw5wvXV0tIy5bFRUVFYtmwZIX6x7tVgu+6gUCiTQsUwCiUU+NOf/uSXYPqjR4/izjvv9OqxPT09uOaaa7jOkWKxGL///e9x2223+XxeFP8yMjKCo0eP4sCBA4Qb6Pbbb8fhw4dDIuuID7vZM5lMRClLXFwcioqKppVJ4mv4G0m2y6M3XfjkcjmxkWQzRfzNRN07RSIRCgoKuPIOimdcLhcaGxtRV1dHCFK+ymUbX5ZmtVo9hkazZbT8jeRcravZYLFYoNfrCXeTSCRCfn4+FzRN8YzD4UBdXR2am5sJASIuLg4ajQZyuRwul8ut3NGbkHuZTMZ1dwyVdTVTaJ7Y9GFvAvGzvrxxE44/X01V9u/tPNjrBb7r64svvsDIyMiUx+bm5hLC1+LFiyGRSOj5h0IJbagYRqFQPGO1WnHdddehuroawNhm/c0338Rdd90V4JlRZgrDMDCZTHjwwQfxj3/8gxtXKpU4cOAANmzYEHIX9BN1+BMIBMjLy0NeXp7fL1pHR0c5wYu94Pd0gQ38X/kQ686RyWQBvcBmmy8YjUZCYJHJZCgqKqLt3KfB8PAwDAYDOjs7uTGBQIDs7Gzk5+d75Wrgdw1l15Y3G0l+GS0bRh6qGzeGYdDS0gKz2Uy4m2JiYqDRaMImK3AuGBgYgNFoJDrTAWPuRYfD4VXIPb+7Y6BC7gMNzRObHIfDQQhf3twEGt/lGBiLPVCpVDNygbLPZbPZcPbsWS7kvqqqyq3cdTzR0dFurq+0tDTq+qJQwg8qhlEolKkZHBzEjTfeiNOnTwMYu2A5fvw47rnnngDPjOILnE4nXn/9dezevZvo9rRq1SqUl5dDo9GE3MXfRBlY0dHRKCoqQnx8vE9+hsvlwuDgIHGx702+SWRkpFv50GzKPPyJw+FAbW2tW7lIRkYGCgsLw6Lsaa7o7OyEwWAg1qREIoFarUZKSgr3HmMYZsKyNG+6hvLXlFKpDKncPG+x2+0wm81uazI5ORlqtdrnwfDhBCvW9/X1wWKxwGKxeOVSHR9yT8tTSSbLE4uNjYVGown7PDH2s5AvfnnKJpzIpRoVFYWuri6YTCbieKFQiLa2Ntxyyy1T3ohhXV/Nzc2oqKhAZWUlqqurce7cOY+u2fz8fEL4uvrqqxEZGRmyNw8oFIrXUDGMQqFMjs1mw80334yPPvqIG/vZz36GTZs2BXBWFF/DtgjfuXMnfvOb33DjEokEu3btwiOPPBJyGyCn04m6ujo0NjYSd5vT09OhVqunJeTw85jYzaQ3AgW/Wxr7Z6i9jsBY8wWdTkeUqUVERECtVodcSW0gcTqdaGhoQENDA7F25HI54uLiMDw8jL6+Pq/KHceHRs+2fCjUsFqt0Ov16Ovr48ZmGwwfTrBlaXxR1RuxniUyMhL5+fm0g+c06O/vh9FoRE9PDzEebnlidrudE1S9zZCLjIwkymgVCsWk71GXy8W5QEdHR9HR0YHNmzdDJpNh586d2LJlC3fs8PAwzp49y+V8VVdX4/Lly1POJSYmBsuWLUNpaSknfqWkpFDXF4UyP6FiGIVCmRi73Y477rgDp06d4saOHj2Khx9+OICzovgTl8uF9957D1u2bEFDQwM3XlRUhGPHjqGsrCzkLhb7+/uh0+mITXNERAQ0Gs2kYeYzzWOSyWSEi2K2Xa2Cick6/PkqA2s+wHbh6+zsREtLi1cltMBYWdr4csf5LvYA4Dq+mUwm4v0plUqhVquRlJQUNu8/T7ACxXTK0vhuwujoaHR2dhKdUAHquJsu4ZYnxi/RZsUvT52OBQLBhG7C6b4X2Yy77du345///Cc3npOTg9LSUpjNZpw/f54om54IlUrFub7KysqwcOFCSCSSeXNuoFAoU0LFMAqF4o7T6cRdd92FP/zhD9zYU089hcceeyyAs6LMFVarFfv27cOxY8c44UMgEOD//b//h3379kGpVIbUhSSbN1RbW0tsEOPj46HRaOB0OgnXl6cSD4AUKBQKxZR3usMJm80Gg8GAjo4ObkwgECA3Nxd5eXnz4jXwk0atZgAAIABJREFUFpvN5iaqenJQAGPZbImJiYiNjYVCoQgbR4m/mCwYPiEhARqNJqANNPyBy+VCf38/IX55I1B44ybs6+uDXq+H1WrlxoRCIXJycpCbmxu0Jd3BxmR5Yt528AwU/BJti8XilQPa12I9+x4eGhpCTU0N/v73v+P999/nmjdNhUwmw/LlywnXF/taB+PrTaFQAg4VwygUCgnDMFi/fj1ef/11bmzv3r3Yv39/AGdFmWsYhkFVVRU2bdqEs2fPcuPp6el4/vnnceutt4bcxeXw8DAuXbrkVsbiCdZBwb/bHY55TNNholw2qVQKjUaDpKSkAM4sMDidTrcufJ6cXwKBgHMP8ktQgTEhR6vVIjo62p/TDisGBgZgMBiI97dAIEBOTg7y8vJCUsjhl2izX/39/R4FiumUpU30Mydy3EkkEhQWFk7qqKW4M1nGXTDkifFFVdb15alzqD8y5BiGgcvlQkNDAyorK1FRUYHq6mpcuHCBEBJzcnLgdDrdXku1Wo0NGzbghhtuwMKFCxEREUHXJ4VC8RYqhlEoFJK3336b6BIZFRWFtWvXen38VVddhWeffdYfU4PFYsGZM2dQXV2NqqoqVFdXo7Gxkfv3J554Avv27fPLz56vjIyM4IUXXsCBAwcIx9S3vvUtPPfcc0hPTw/aC09+6RArVHjT0Yof7KtQKOZdHpO3OJ1O1NfXo6GhgXDkJCcnQ6PRhGQ+mjeMz2NimydMpwvfeIFicHAQBoOB6PBHM7CmD8Mw6OjogNFoJDb2EzUrCEZYlyq7riwWi8cSbVagUCgUnADmizKw0dFR1NfXu+UuKpVKaLXasA+G9yXBkCfGiqqs8OWNqBoVFUWIqrPtSMuuo4GBAdTU1BBZX3y38UQoFAosW7YMcrkcp0+fJs6VCoUCe/bswbZt28L2c4dCofgFKoZRKBSS1157DRs2bJjx8WvXriXyHXyFWq1GbW3tlBtOKob5B4ZhYDKZsHnzZvz973/nxhUKBQ4cOIB777034Jt11pnDd+d4uss9EbRT4vQZHByETqdDb28vNyYSiVBQUICsrKyQD+BmS4f4zRM8iar85gms8OVpk8YKOQaDgXCVzWfH3UyZTKiNi4uDRqOBXC4P4OzGYBgGQ0NDREmaN6KqVCrlSmh9IVB4YnBwEEajkeg2DIwJOYWFhfPeJestDMOgq6sLRqORuLHkjzwxp9OJ/v5+osOjJ6cqK6ryxa/ZinSs66uuro4TvqqqqnDx4kWPJeNFRUVYsWIFl/W1YMECiMViCAQCDA0N4ciRI3j66acxODjIHZOTk4M33ngDX/3qV2c1bwqFMm+gYhiFQiEJVjHMm7vcVAzzL06nE2+88QZ27dpFbIzKyspQXl4OrVY7J66LmTpzIiMj3QQKtnSSX6YWGRkJjUYT9C6SYIJhGFy5cgUGg4EINJbJZCgqKkJsbGwAZ+c97CaSX5bmjajK5jGx60smk8147UzmyElMTIRWq6Vh5tNgaGgIBoOBOF8JBAJkZmaioKBgTkVvh8NBrCtvnKpisditLC1Q4lNXVxcMBgMh5IjFYuTn54eF6D1XsM1I6urqfJInxi+l5bu+vBVV2XUlk8l84vrq7+/HmTNnCNfXeCF1PEqlEitWrCCyvuLj4z1mfbW1tWHv3r341a9+BZfLBbFYjEuXLqGwsHDGvweFQplXUDGMQqGEBuwFkVKpxNKlS7FixQosX74c27ZtQ1tbGwAqhs0FrHtl586dOHHiBDceGRmJXbt2Yfv27T4vU2Av9PnOHE93lfnZJuyfk3W0mqxTIhUfpo/D4YDJZEJraysxHoyOO74zh/3yVlTlixMKhcIveVQDAwPQ6/WE404oFCIvLw85OTkBd2OGEp2dnTAYDETGXUREBAoLC/1S6s3vwsd+edOYY3zIfbB1pJ1MyImOjoZGo0FiYmIAZxdazDRPjJ9PyIpfnkppRSIRsa58Iaqyri+TyYSqqirO9fXll19OWX4pEAhQVFSE0tJSlJaWoqysDEVFRZzrayacP38eO3bswMKFC3H06NGZ/koUCmX+QcUwCoUSGrz55ptYvnw5CgsLiQum3NxcLjeMimFzB8MweO+997BlyxbU19dz41qtFuXl5SgrK5vRhe3o6KhbBz5P5R3A2CaS76CIiYmZ9l3u4eFh6PV64i62UChEQUEBsrOzqfNhGlgsFuh0OgwMDHBjkZGRUKvVAQvgnkmG3ESB0b7IY/IWhmHQ3t4Og8FAbHilUim0Wi0VH6aB0+lEU1MT6urqiM26QqGAVquFUqmc8XOPD7n3pgvfXImq/sBut6O2ttZN9E5MTIRarQ67Dp7+ZKo8sYKCArhcLqLDozeCfUxMDLG2ZuNUBf7P9WW1WlFdXc0JX1VVVR4b0sTFxXGur7KyMpSUlCAuLs7nHR4ZhsHo6GhQ3XChUChBDxXDKBRKaEPFsMDS39+P/fv344UXXuBcVQKBAD/84Q+xf/9+KJXKSS94+e4JVpzg539MhkQiITaQvtxETpbbJJfLUVRUNKsN83xjMsddXFwcioqK/Lph5ndKY7/4rqDJGL+JnImo6g9GR0dhNpvR3Nw8r5oV+IPh4WGYTCa0t7cT4xkZGVCpVB4dMzPtHDpRF75gcn3NBKvVCoPBAIvFwo0JBAJkZ2cjPz8/ZMS9QMPmiY13L3oD2+2Y/zVbQYhhGDidTphMJiLrS6fTTSnyCoVCFBcXE64vjUYzK9cXhUKh+BEqhlEolNCGimGBh2EYVFdXY9OmTaipqeHG09PTcfjwYdx2221gGAZ6vR6ffvopqqqqYDAY8Pjjj3t8bjYzh1/yOBcbf4fDwYkPfLKysqBSqegmbxrYbDYYDAaiW5hAIEBubi7y8vJmXe7HMAyGh4cJccKbzJyJMuSC3VXQ398PvV5PiA9CoRD5+fnIyckJCuEuVOjp6YFerycEeLFYDJVKhYyMDAiFwhmX0kqlUiKM3N8h94GEzQs0mUyEKBgZGYnCwkKkpaVRIWQCxjdQYNeWJ2JiYoisr9mW0rJrua+vjyh3rKqqIs4zE5GQkMCF3K9cuRIlJSXcDTD6f06hUEIAKoZRKJTQhophwYPdbscLL7yA/fv3c/k4QqEQWq0WLS0tsFqtxONffPFFZGZmct8LBAIiM0ehUAQ8M2eicj+JRAKtVovk5OSAzSsUmSi3aSblfuODyK1WKxHaPxFCoRByuTwsnDkMw6CtrQ0mk4konYyJiYFWq0V8fHwAZxdaTOZejIyMhFQqxdDQkMe1xeYx8YXV2XbhC0XYDp6NjY0+L0MNBxwOB5H15c15azxKpRJarXbSPDFvYF1fBoOBCLnX6XRTirxCoRALFy4kXF9qtRoikSgkz6MUCoUCKoZRKJRQh4phgcdms+GLL75ARUUFKisrcfr0ae7/ZCp+/OMf49Zbb+U2knK5PChDwV0uF5qammA2m4lNXlJSErRaLS1RmwbshrmhocGrcj+23JFfluZNEHl0dDQhqoajM2cy92JKSgrUajVdlx5wuVxcV9qenh50d3d7zJADfJ/HFG4MDw/DaDQSTlAASEtLg0qlmhfrcnzHY4vF4lUEAHsziHV+uVyuCfPElEolkpOTkZub63EeANDb20u4vqqrq9HX1zflsYmJiSgpKeFcXytWrIBCoaCuLwqFEk5QMYxCoYQ2VAwLDP/4xz/wxz/+EZWVlTh37pzHO9wymQypqalITk7GHXfcgTvuuANpaWlzNFvfMDQ0BL1ej+7ubm5MJBJBpVIhKyuLbhCmwWSdEnNychAdHc3lffX393sMIo+IiHBz5gR7uaMvsVqt0Ov1xOZWJBKhoKAAWVlZYScCzpSRkRE3R6GnrrQsCQkJyM7OnndrazZ0d3fDYDAQIpBIJOK6oYbTuhzvVvWmOQd73mKFr8myL9k8MaPRyN0IeOONN/DXv/4VGzduxI9//GPIZDLusU6nEzqdjsj6MhgMU85FJBJh0aJFhOtLpVJR1xeFQgl3qBhGoVBCGyqGBYZ9+/Zh//79E/5bVFQUli5dihUrVkCr1eLDDz/EH//4R+7fIyMjsWPHDuzYsQNSqXSupuwTJuvup1AoUFxcDLlcHsDZhRYOhwP19fVobm72KHixCAQCt3JHqVQ67zdsDMPg8uXLMJlMhDAtk8mg1WoRFxcXwNnNPU6n062Bgs1mm/IY/tpyOp3o6OggBI3o6GhotVokJCT4e/phg8vlQktLC8xmM/FaSqVSqNVqJCUlhdx7l2EYrvEL++XJ9cVGAPCzvqZ73mJLej/77DM88MAD3Ps8OTkZP/jBDyASiVBdXY0zZ864RRKMJykpiRC+li9fDrlcTl1fFAplvkHFMAqFEtpQMSwwvPfee7jpppsgEAhQVFSEkpISlJSUoLS0FIsWLSLcEwzD4P3338fmzZtRV1fHjWs0GpSXl2PVqlUhdwHucDhgMpnQ2trKjbFd1AoKCoKy3DOQzLRzaFRUFLGBDMdyR1/icDhQW1uLlpYWYjwtLQ2FhYVhmWU10wYKUVFRhKg6vkzbbrfDbDa7vZbJyclQq9UhJ+QHksley4SEBKjVas7ZFIzY7XY315cnR2FkZKSb68sXjUJGR0dx+vRpHDlyBB9//LFXNxHEYjGuuuoqQvzKz8+nri8KhUKhYhiFQgl1qBgWGKxWK6qrq7Fs2TKvg5EHBgawf/9+HD16lNhM3HvvvThw4ABiY2ND7uK8t7cXOp2OEHaioqKg1WqRlJQUwJkFDoZhJixJ87RxYzeL44PM1Wo1UlNTQ25tBJK+vj7o9XrCISIWi1FQUIDMzMyQFhRHR0fdxAlvGijwha/pdKWdqAxVKBQiNzcXubm5VPieBv39/TAYDER5tEAgQFZWFvLz8wNegsoX7dmsL37Dj4ngOwpZ8Wu2zTnY/VJXVxdR7lhTU4P+/n4AQGpqKqKjo4kbTMDY58+aNWuwdu1alJWVYdmyZVyuHT2HUigUCgEVwygUSmhDxbDQgmEYnDlzBps2bcKZM2e48bS0NBw+fBi33357yF2wu1wuNDQ0oL6+nhB8UlJSoNFowtKNw2d0dJQIuO/r6yNKSCdifOdQpVKJ6OhoMAwzYXe/uLg4FBUVISYmxt+/TtjAMAxaW1thMpmIEjW5XA6tVovY2NgAzs472CByi8XidUka8H8h9wqFArGxsYiJiZmVADhZB8+oqChoNJqQLPcLFAzDoKOjA0ajkShdjYiIgEqlQkZGxpy9lnzRnu3w6Em0l0gk3DkrNjbWJ41fGIaBw+HAl19+SYhfZrN5yuPEYjGuvvpqmM1mWCwWbjwmJgaPPfYYtm/fTh2MFAqFMjlUDKNQKNPnxIkTWLdunc+f9/jx41i/fv20jqFiWGhit9tx7Ngx7Nu3j9jc3nLLLXjuueeQmZkZcpvLwcFB6PV6ovOXWCyGSqUKyd9nIsbn5VitVgwMDHg8zlNJ2nhsNhsMBgPRkU4gECA3Nxd5eXnUjTMN7HY7TCYTLl++TIynp6ejsLAQkZGRAZqZOzMpSROLxcTa8mfIvcPhQF1dHZqbm4kyzISEBGg0GirWTgOn04mGhgY0NDQQApRcLodGo/F5zh3bmZYvfnnKkRMKhRO6vmYDu246OjpQVVWFiooKzvXlSehNS0sjyh2XLVuG6OhoOBwO/OxnP8P+/fsJUSw7OxuHDx/Gd7/73VnNmUKhUMIUKoZRKJTpQ8Uwii9gGAZmsxlbtmzB+++/z40rFAo88cQTuO+++0JO9GAdJEajkSjdUiqVKC4uDupsnImw2WyE68ubDnxisZjo7KhQKGbsjuvs7IReryc2rVKpFFqtFomJiTN6zvmKxWKBXq/nyqyAwIq148WJvr4+r0rSJnIUzvXcBwYGYDAYCOFbIBAgJycHeXl5E3YFpEzM8PAwTCYT2tvbifGUlBSo1eoZi082m23apdqsaM8KX77IKGRdXxcuXCBcX/X19VMeFxkZicWLF6O0tBQrV67EypUruS6ck633rq4u7Nu3Dz//+c+58/T3v/99nDhxYla/A4VCoYQpVAyjUCjT509/+hO2bt3q8+c9evQo7rzzzmkdQ8Ww0MfpdOLNN9/Ejh070NnZyY2vXLkSx44dQ3Fxcci5qux2O4xGI9ra2rgxdrPMhhcHG06n063ccWRkZMpjWHGCL37FxMT49P/L6XSivr4eDQ0NhBtntpvl+Qi/DJVfOqlQKKDVar3O/5vJzx0vTvT390+rJM1XQeS+YrJyP4lEArVajZSUlJA7bwWS3t5eGAwGQqwVCoXIy8tDTk7OlP/vLpfL7dzljeuLLaNl19dsS9oZhuE6DvOFr7Nnz2JoaGjKYzMzM1FaWoqSkhKUlZVh6dKlXMfJ6a6jL7/8Eo888gg+/fRTGAwGZGVlzebXolAolHCFimEUCiW0oWJYeMAwDDo7O7Fr1y68/vrr3HhERAR27NiBnTt3hmT2SU9PD3Q6HbERkkqlKCoqQkJCQsDmxWYx8TePg4ODXnXgG+/6mitxYmBgAHq9ngjfFolEnLMplEPh55qRkRGYTCZCrAWAjIwMqFSqWZdOziRHjhUn+OJXKAidk4m1cXFx0Gg0kMvlAZxdaMHm3NXW1hLO2qioKKjVaiQnJwOY2PXl6dwllUoJ15dMJpt1jhwwduPj/PnznPBVWVnJXZNMhkQiwZIlSwjXV1ZW1pSur5nMz2w2Q6VS+eT5KBQKJQyhYhiFQgltqBgWXjAMgw8++ACbN28mwoPVajXKy8uxevXqkHNbTLZZTktLg1qtnpPMJjYomhUorFYr4QyaCJFI5CZ8BVqcmKwMVS6Xo6ioyG/OpnClt7cXer2eyH2bbpD5RMKqNzly0dHRhPA1W3Ei0AwNDcFgMKCrq4sbEwgEyMzMREFBQcA7JYYSk2Wzsa+hp+6h/HMXK37N9jzLur7a2trcXF+eXGjZ2dkoKSnhsr6WLFnCdZwMtc8zCoVCCSOoGEahUEIbKoaFJwMDA9i/fz9eeOEFQrTZsGEDDhw4gLi4uJDbRAwMDECn0xEBxxERESgsLER6errPfh+n0+mWxeRpswaAy2JiN5EymSxoX2OHwwGTyYTW1lZiPDMzEyqVigoP08Dlck3YwVOpVEKr1UKhUBCPHx9y742wyg+5Z9dXMAX3+5LOzk4YDAYi/8wf7/NwhGEYDA8Pc2urp6fHq+6hfGHVV91DgbGbCOfOnSNcX83NzVMeGxUVhaVLlxKur4yMDJ+6vigUiv+xWq04ceIE3n//fZw7dw5dXV1wOBxQKpVQqVRYtWoV1q9fj4ULFwZ6qpSZQ8UwCoUS2lAxLHxhGAY1NTXYtGkTqqurufHU1FQcPnwYd9xxR8htLtgyIJPJRAgIcXFxKCoqmnY3OoZhMDQ05ObK8fR5GxkZ6ZbFFIqh3xaLBTqdjnAiRUZGQq1WIzU1NeTWRyCx2WwwmUy4cuUKMZ6SkgKFQsF1EfWUfQTALeTe1zlywY7T6URTUxPq6uqIXDR/Z7OFGjMpp2URCoVIT09Hfn6+z7K+WltbCdfXF1984TE3MTc3l3B9LV68GBKJhLq+KJQQ5q233sKWLVuIJimTsX79ehw7doyWxIcmVAyjUCihDRXDwh+73Y7y8nI88cQThEvg5ptvxvPPPx+QTnizZWRkBEajkRAeBAIB8vLykJeXN6mrge/KYTeRnlw5E2UxsZu1cGAyZ1N8fDy0Wu20Bcb5jM1mQ2trK5qamjyuK5ZwEVb9gc1mg9FodOuU6KtstlBiIuGeH5Y/GTExMdy6GhwcRGtrKyEwymQyqNVqrzMY2b2IzWbDF198wQlfVVVVaGlpmfJYqVSKZcuWca6v0tJSpKenU9cXhRJG/PznP8cDDzxAjCUkJKCoqAgRERFoaWmByWQi/n316tX4+9//HvAoCcq0oWIYhUIJbagYNj9gGAZ1dXXYsmUL/va3v3HjcrkcTzzxBDZu3Bg0XeamQ1dXF/R6PVFSFR0djaKiIsTGxrqVO/IfNxns5pHvygnlLCZvsdlsMBgM6Ojo4MYEAgFyc3ORl5cXkuvDn8ykeygwJj7Ex8cTIfdUCJianp4e6PV6QswXi8UoKCgI2+YPo6OjxNrq6+vzmPXFL6eNjY2FQqFwK3m22Wyora0lmj/89re/RVtbG44cOQKNRkM8nnV9NTc3E66vc+fOeXSh5efnE66vq666ChKJJCz/vygUClBXV4fi4mLuszA1NRU/+9nPcNtttxGfc0ajEVu2bMGHH37IjdE9SEhCxTAKhRIaHDx4EAcPHnQb52/eRCLRhI4Eg8GAnJwcv86PMjc4nU689dZb2LFjByF6lJaW4tixY1iwYEHIbcydTifMZrPHDmQTERkZ6RZyP9/zsjo7O6HX64mcNKlUCq1Wi8TExADOLHDMtJw2KioKDMMQ51mBQICsrCwUFBRQB9g0YB2MdXV1hOtOJpNBq9UiLi4ugLObHTNtosAvp42NjUV0dLTX52+LxQKDwQCz2YzNmzfDbrcjMjIS69evx49+9CPU1dWhoqKCc31dvnx5yueLiYnBsmXLUFJSgrKyMpSWliI1NZW6viiUecSjjz6KZ555BsCYOF9dXY2rr756wsfa7XZ85StfQVVVFQAgOTkZbW1tVCwPLagYRqFQQoN9+/Zh//79Mzq2vr4eubm5Hh/32Wef4de//jX+9a9/obW1FQzDIDMzE1/5yldwzz33YPXq1TP6+RTfwjAMurq6sGvXLvz617/mxiMiIvDII49g165diI6ODuAMPeNwONxCyD25JoRCIeRyOeH6oq6ciXE6nairq0NjYyMh+KSkpECtVod9KcP49eVNOa1IJCLWFj/kvru7G3q9nsgLo9lsM2NkZAQmk4lwNgFjDoTCwsKQWJszWV8RERFu62u2YqrL5cIf//hHbNu2jWhMIpfLPZZgqlQqlJSUcCH3ixYtCqvycQqFMn1Wr16Nzz77DABwyy234J133pny8b///e9x5513ct8bjUYUFhb6dY4Un0LFMAqFEhr4UwwbHBzEQw89hF/96ldTPs+GDRtQXl5OM4iCBIZh8OGHH2Lz5s2ora3lxgsLC1FeXo6vfOUrQbGxcblc6O/vJ0rSvAkh56NQKLBgwQLIZDI/zTI8maiDp0gkgkqlCpvyNJfLhcHBQVgsFk5Y9aYDH797KNuBb6r3i8vlQmNjo1sofFxcHLRaLV2b08RisUCv1xOijUgkQn5+PrKzs4NmbTIMwzVPYL88rS+BQODWRGE6rq/J5gEAQ0NDOHv2LOH6slgsKCgogF6vJ3IDWWQyGZf1xbq+kpOTqeuLQqEQqNVqLg/s0UcfxU9+8pMpH6/X61FUVMR9f/r0aaxatcqvc6T4FCqGUSiU+Y3T6cRNN92EDz74gBuTSqVYsGABxGIxLl26BKvVyv3bDTfcgFOnTtH8oSBicHAQBw4cwJEjRwh3wvr16/Hkk08iLi5uzjY8DMPAZrO5hUTzxYOJYF0TbMmjRCJBXV0dUQoqFAqRn5+PnJycoNkohwIMw6CtrQ1Go5Fw38nlchQVFYVcZ7+RkRFubVksFlitVq/XF5vDNBtXzvDwMAwGAzo7O7kxgUCA7Oxs5Ofn09LJacB2MKytrSXWZnR0NLRardeh8L6E36SD/ZpIYOIzvomCUqmc9WckwzBwuVxoaGhAVVUVJ35duHBhUhdacnIyGIZxW5v33nsvnnrqKSQnJ89qThQKJbxZunQpzp49CwDYvn07nn/++Skff+7cOSxevJj7/tKlS4Q4Rgl6qBhGoVDmN3v27CHu/Nx33314+umnER8fD2BMaHnmmWfw5JNPEsccOnRozudKmRyGYXD27Fls2rSJy28Axsrinn32WfzHf/yHXwQkh8NBOL6sVqvHUGaBQOBW7iiVSicU7CbKv4qJiUFxcTFiY2N9/vuEM3a7HbW1tWhtbSXGMzMzoVKpgjJrzel0ujVR4K+FiZjO+poNnZ2dMBgMRFMHiUQCjUaD5ORk6riZBna7HWaz2a2bYXJyMtRqNaRSqV9+7nhXoTeu1fHrKzY2dtbl2uz+YHBwEDU1NYTri39DYCIUCgWWL19OZH1VV1dj+/btMBqN3OOUSiX27duHzZs3B+V7nUKhBJ5Nmzbh5ZdfBgAsX76cuJ6ciGPHjmHbtm0AgMTERLS3t9OblaEFFcMoFMr85fLlyygoKOA2l+vWrcPrr78+4WMff/xxLsA/KioKZrMZ6enpczZXinfY7Xa89NJL2Lt3LxHg/M1vfhNHjhxBVlbWjDdtLpeLKxdiBTBvytGkUikhTMjl8mldLI2OjsJsNqOpqYkYz8jIQGFhId3YTROLxQKdTkesj2DIv2IYBsPDw26uQm9C7sevr7lyrjqdTjQ0NKChoYFwp8XHx0Or1dKS8mlitVqh1+vR19fHjQmFQuTm5iI3N3fW/692u50QvqxWq0fXl0QiIYQvX6wv1vVVV1fHdXesrKzExYsXPc5Hq9USWV8LFixARESE2/vWbrejvLwc+/fvJ0pRd+3ahWeffXZW86dQKOHJ2bNnsXz5cu7z7LXXXsM999wz4WObmppQWlqKK1euAAAOHTqEPXv2zNlcKT6BimEUCmX+snv3bhw+fBjAWFlKc3Mz5wgbj91uh0qlQnNzM3cs23GGElwwDIP6+nps3boVp06d4sblcjn27t2LjRs3eizlYssdx7u+PJWjicViorMjP4R8tlitVly6dInY2EVGRkKj0SAlJYU6caaBy+VCU1MT6urqiM33XIo4412FfX19HpsoiEQionsoW1IbaIaGhmAwGNDV1cWNCQQC5ObmIi8vj5aVTwO2rNdkMhEu06ioKGg0GiQlJXn1XmezCvnri+/imwiBQECsr9jY2FmHyrPX/gMDAzhz5gwqKipQWVmJ6upqYr1MhFKpxIoVKzjX18qVKxEfHw+BQOD1nNrb27Fnzx4cP3557tR5AAAgAElEQVQc0dHRMBgMyMjImPHvQ6FQwpvnn38eu3btAsMwEAqF2LhxI+69915OeG9pacG7776LgwcPcs7Vu+66CydOnKAxAaEHFcMoFMr8pbCwkAteX79+PY4fPz7l45944gkcOHAAwFgnKjZkkxKcOJ1OnDx5Etu3bydKbVasWIHy8nIsXLiQ21D19vbi9OnT+Pzzz/H1r38dQqHQq3JHX4dEe8LlcqG5uRlms5kQcRITE6HVav1WThWu2Gw2GAwGYn0IBALk5eX5xInDMpMQcmCsJJa/vmJiYoK2BIPNajIYDEQp53RFHMoYrCO0ubmZcAcmJCRAo9G4CbYjIyNuri9P4v14V6FCoZj1+mJdX7W1tYTr69KlS1O6vgQCAbRaLUpLSznXV3FxMcRisU/WTXV1NQwGA77//e/P+rkoFEp48/bbb2PXrl1ujvzxZGZmYtu2bdixYwf9fAtNqBhGoVDmJwaDAVqtlvv+5MmTuOuuu6Y85t///jfKysq47/V6PTQajd/mSJk9DMOgq6sLu3fvxmuvvcaNi8Vi3HbbbbDb7bhw4QKampq4jeOjjz6KlStXuj1XIMvRxjM8PAy9Xk84K4RCIQoKCoKqE12oMFE2m1QqhVarRWJi4rSfjx9y7205GhtyzxcmQrEE1ul0or6+Hg0NDYSIk5iYCI1Gg+jo6ADOLvQYGBiAwWBAT08PMZ6WloaYmBjO/eUpS04oFLq5CqOiomY1N/b/12q1cq4vNutr/HzHExcXR7i+SktLuWYndFNJoVACzYULF3D//ffj888/n/DfZTIZHn30Udx///0zuk6gBAVUDKNQKPOTt99+mxC/GhsbkZ2dPeUxdrsdcrmccwy9/fbbuPPOO/06T8rsuXz5Mv7973/j7bffxl/+8hePpULf/va3sWHDBmLjqFAogqIcjQ/DMOjo6IDBYMDIyAg3HqpdEgON0+lEXV0dGhsbCREnJSUFarV6UuGAX47GOnO8CbmXyWSIjY3l1pe/XYVzzeDgIPR6PSGK+DL/aj4xPDyMpqYmtLa2ehRVWWabVTgRrOvLZDJxwldlZSV0Ot2ULjSBQIDi4mLC9aXVan3m+qJQKHPL8PAw3nnnHfz+97/HhQsX0NbWBofDgdTUVKSnp2PlypX42te+hjVr1kAmkwV6utOip6cHmzdvxm9/+1vuWkCpVKK4uBhRUVFoa2uDwWDg/k0mk+HYsWPYsGFDIKdNmRlUDKNQKPOT/fv3Y9++fQDGcpdsNptXF+UqlQpms5l7jr179/pzmpRpMjg4yDkU2K/xHdrGIxQKkZWVhSVLlmDlypW49tprUVxcHDKbNIfDwZVT8cnKyoJKpaIZFtNkYGAAOp0OFouFGxOJRFCpVMjMzJzQ9eXp+oYfQs6KX/NBDJpMsJVKpVzpJIWE7SDKL3nkv3aTIZfLkZCQ4LMsOXZN9/X1obq6GpWVlVzWV29v75THJiQkYMWKFZz4VVpaCqVSSV1fFEoY8O6772Lz5s0eSwgB4PDhw9i5c+eMf9aJEyewbt26GR8/GcePH8f69evdxnt7e7FmzRpcvHgRwFijomPHjuH2228nbia0tLTg8ccfJyoOXnnlFdx3330+nyvFr8zpBxK9GqdQKEFDQ0MD9/fMzEyvL9Czs7M5MYz/HJTg4OWXX8aOHTumfExWVha0Wi2ampowMjKCy5cvo7GxEcPDw7j99ttRVFQUUhu2iIgIaLVapKamEl0Sm5ub0dHRAa1Wi+Tk5ADPMnSQyWRYvnw5d/d3dHQUTqcTBoMBRqPRo/Dlj3K0UEUgECAlJQUJCQmor6/nXHfDw8P44osvkJSUBI1GM2+z7thGHXzhy9sOogzDECJZf38/YmNjERcXN6PyWoZh4HQ6YTQaiXJHnU435XyEQiEWLFjACV9lZWVQq9UQiUQhdR6lUCieefLJJ91uAiclJSE3NxdyuRzd3d3Q6/VeCfjByLZt2zghLCkpCZ999tmEVSOZmZk4fvw4EhIS8Pzzz3PHfuMb30BWVtaczpkSOlAxjEKhBA38jnzTKSdTKBQTPgclOBif9SWTyTiHAvuVlpYGYKzs9ac//Sn27t0Lu92Ojo4OrF+/Hm+99RaOHj2K7OzskNrMxcbGorS0FE1NTTCbzXC5XBgZGcG5c+eQlJQErVY7b0UZb2AYBoODg4Tra3R01O0x44mOjiaEL5lMRjPbxiEWi1FYWIi0tDTo9XrOWdTZ2Ynu7m6uYUG4v25Op5NYX319fR4bdYhEImJ98TvUsg0L2NLv5uZmmEwm1NfXY/PmzZO6D9l13Nvb6+b66uvrm3I+iYmJKCkp4cSvkpISKBQK6vqiUMKco0ePEkLY1772NRw6dAgrV64k3vujo6P49NNPcfLkyVmXSMbExPil++tEHaNbWlrw5ptvct/v2bPHY3zKwYMH8cYbb6CjowPDw8N45ZVX8OSTT/p8vpTwgJZJUiiUoOEb3/gG3n//fQBAWVkZPvvsM6+Ou/vuu3Hy5EnuOd577z2/zZEyfYaHh7Ft2zZO+CoqKpqyHI1hGDQ0NGDr1q3461//yo3LZDLs3bsX999/f0iWGQ4PD0On06G7u5sbY0v9srKy6KYVY2Lo+HLH8eLXVIjFYq50kr6e3sMwDK5cuQKj0UgIQdHR0dBqtUhISAjg7HwH64Dju74GBgY8ur7GdxCVyWRTri+Xy4XGxkbU1dXB5XLhlVdewalTp6DRaHDkyBFcc801nOtLr9cTri9+7s1EiEQiLFq0CCUlJZzrS6VSUdcXhTLPuHjxIpYuXQqHwwFgzAX1wgsvBHhWvuX111/HPffcw31vNpuRn5/v8bh169bhxIkTAIA1a9bgk08+8dscKT6HlklSKJT5CX/TOx2xg/9Y9qKAEjxIpVK88sorXj9eIBAgLy8P//M//4Pf/va32L59O9rb2zEwMIDdu3fj7bffRnl5ORYtWhRSmz+pVIolS5agvb0dBoMBdrudK/Vra2tDUVER4XIMd/gh9+yXp0YKwFgOEz+AvKurC/X19XA6nRgdHYVer+dKUSe600xxRyAQIC0tDUlJSVzWHcMwGBoaQk1NDZKTk6HRaELOxTg6Ogqr1UqIX54+I8RisZvra7oljkKhEHl5eUhLS8Mnn3yCv/3tbwDGOibffPPNWL16NQQCAc6fPw+r1TrlcyUlJXE3ElauXIkVK1ZALpdT1xeFMs/ZtGkTdz675pprwk4IA4DW1lbie2/LHfmPu3Llik/nRAkvqBhGoVCChujoaO7vnjq/8eE/lm5+wweRSIS7774bN9xwA370ox/hV7/6FQCguroaX/3qV/Hwww/jRz/6EbFugh2BQIDU1FQkJCTAZDJxF3pWqxWVlZXIzs5GQUFB2AW5s1lK/O6O/f39U3a7A8YaafC7OyoUCjehXC6XIzU1FQaDAZ2dnQDGOk99/vnnXKlfuL2e/kIsFkOj0SA9PR16vZ5rWNDR0YGuri7k5+cjJycnKEsnWfGOv8bYrL6pkMlkhPAVExMza5GJYRiMjo7CaDSiqakJd9xxBz7//HNcvnwZAHD69OkJjxOLxbjqqqsI11d+fj51fVEoFILq6mriPBKOQhgAt6Yjw8PDXt2cGBoa4v4+X/MvKd5BxTAKhRI08HMMvHGIsPA/9EKtXTRlagQCARITE/Hqq6/i7rvvxubNm2E0GjE6OornnnsOf/rTn3Ds2DGsXbs2pDaLERERKC4uRlpaGnQ6HQYHB8EwDBobG9He3g6tVhvSXf2cTiesVivnxrFYLB5zmIRCIef6io2NhUKhQFRUlFf/r1KpFIsXL0ZnZyf0ej1sNhsYhkFdXR3nuguXUr+5QC6Xcw0LTCYT7HY7XC4Xamtr0dbWBq1Wi/j4+IDO0eFwuLm+PJXURkREuLm+ZltyzZY0dnV1obKyElVVVaisrERNTQ2RYcmG2tfV1RGfb3K5HHfddRfuvvtuLF++nCvBDKXzGYVCmVteffVV7u8rVqzA1VdfHcDZ+A82T5blzJkz+NrXvubxuDNnznB/90e+GSV8oGIYhUIJGhITE7m/t7W1eX0c3wJNN7zhiUAgwNe//nXU1NTg0KFDeO655+BwOGA2m3HzzTdj3bp1OHToEOLj40NqExkXF4eVK1eioaEB9fX1cLlcsNls+OKLL5CSkgKNRuN2ZzTY4DtyppPDJJVKCVFCLpfP2nGUlJSE+Ph41NXVEV0Sa2pqQub1DBYEAgHS09OJ0kkAGBwcxJkzZ5CSkgK1Wj0npZNsIwW+8DU4OOjxOH5JrVKpRHR0tM9cX19++SUqKiq4kPva2topjxOJRJBKpfje976H2tpa/Otf/wIw1vTl1VdfxdDQEDQazbwqlaZQKDPjgw8+4P5+yy23BHAm/mXNmjXE9+Xl5R7FsKqqKsI1t3btWr/MjRIe0AB9CoUSNLz00kvYsmUL9/3g4KBXJXDJyclcedRLL72EBx980G9zpAQehmFw7tw5bNq0CRUVFdx4cnIynn76adx5551BWcblicHBQej1evT09HBjwRgI73A43LrveXLkTNV9z18MDAxAp9NxpX7A2OtZUFBAGxbMAKvVCr1eT3Q2FIlE3Ovpy/ccu8ZY8cubRgoRERFcSS1bVusr11dHRwfn+GJdX57EuLS0NCLra9myZVwJpkAgwOeff44tW7agpqaGOyYmJgYHDx7Eww8/PKt5UyiU8KWrq4twjr///vu44YYbcOHCBbzyyiv48MMP0dzcDLFYjNTUVKxevRp33XUXbrzxxgDOeubceOONhPi3b98+7N27d8LPcL1ej2984xtobGwEAERFRcFkMiEzM3PO5kuZNXN6cUbFMAqFEjR89NFHuO6667jvT58+jVWrVk15TGtrK/Eh99FHH3lloaaEPg6HAz/96U/x+OOPE+VIN954I44cOYKcnJyQEzwYhkFbWxuMRiMR9K1UKlFcXDznZcAulwsDAwOE8MUvS54Mf+QwzYTJXk+5XI6ioiIolco5n1MowzAMLl++DJPJRLyeMpkMWq0WcXFx035Ol8vl5vrytMYEAgFkMhkhfkmlUp+4vhwOBy5evEi4vurq6qY8LjIyEosXLyayvrKzsz1mfTmdTvzyl7/EY489xongP/7xj3Hw4MFZ/R4UCiV8GX+tbDab8dprr+Gpp56C0+mc9LhrrrkGJ0+eREpKylxM02dcuHABZWVlxA2IJUuWYN26dVi4cCGioqLQ1taGDz/8ECdOnCByhA8ePIgf//jHgZg2ZeZQMYxCocxPBgYGkJiYiJGREQDAM888g927d095zMmTJ3H33XcDGLsD1NXVRUP05xEMw6ChoQEPPfQQ3n33XW5cJpPh8ccfx6ZNm2btDgkEdrsdJpOJC9wGxgSAnJwcLlDbH9hsNkL4slqtXoXc84UvXzhyfI3dbkdtbe2EnakKCgqm3S1wvuNwOIgGECxpaWkoLCycshTVbre7ub6m2sABZCMFdo3N9j3AMAwYhkFHRwfn+KqsrMTZs2c9inEZGRluri9WjJuJINfd3Y3HH38c7733Hi5evEg/wygUyqT87ne/w3e/+13u+61bt6K8vJz7vrCwEJmZmejt7cWFCxeI82tOTg4qKipCThD78MMPcdddd6G3t9frYx5++GEcPXrUj7Oi+AkqhlEolPnLzTffjFOnTgEArrrqKpw7d27Kx996662cCHLzzTcTgghl/uByufC73/0ODz/8MJEht2zZMpSXl+Oqq64KOZcYMNYVUafTuXVG8kUgvNPpRH9/P+HIYYXoyRAIBFAoFIT45W3IfTBgsVig0+mILoORkZFQq9VITU0Nmd8jWOjr64Ner4fVauXG2FJU1rHLOgvZdeapOYo/1hh7rWu323HhwgVO+KqqqkJDQ8OUx0okEixZsoRzfa1cuRLZ2dkQCoU+Xy+Dg4NUCKNQKFPyi1/8Ahs3bnQbLy0txS9+8QssWrSIG2tvb8f27dvx5ptvcmPXXnst/vGPf8zJXH1Ja2srDhw4gN/85jdTlqlfc8012LNnD66//vo5nB3Fh1AxjEKhzF/G3/H6y1/+gltvvXXCx9bU1KCkpIS76/W73/0O3/nOd+ZknpTgg2EYdHd349FHH8Uvf/lLblwsFuOhhx7Co48+GpIbTafTifr6ejQ0NBCh9KmpqdBoNF5lb7FB8vzujt6E3EdFRRHdHeVyud9caXOFy+VCU1MTzGYz4XqLj4+HVqsNyTUSSBiGQUtLC2pra4lcL5FIBIZhPDoLJRIJ4fryxRpjXV9XrlxBRUUFl/f1xRdfeBTjsrOzUVJSgtLSUpSVlWHx4sWzcn1RKJTgoa+vD0VFRUSTpnvuuQevvfZa4CY1TV588UVs3bqVGLvqqqvw+eefT5qzu27dOpw4cYL7/oMPPghZsWhkZARnzpzBpUuX0NPTg9HRUSiVSuTk5KCkpATJycmBniJldlAxjEKhzF8YhsGSJUs4R1haWho++ugjaLVa4nFtbW247rrroNPpAACLFy9GTU0N3axQwDAMPvroI2zevBkGg4Ebz8/Px7Fjx3DNNdeE5DqZLBBerVYjPT2d+J0cDgesVitR8sjPeJoIkUjk5sgJ586Lw8PDMBgMXPMNYMyVlJeXh9zc3JAX/fyNy+VCf38/J65aLBaPzkKhUAi5XE6IX7PtRslex46MjOD8+fOE66upqWnKY6OiorB06VKi5DEzM9Mvri8KhRJ47r//frzyyivEmC/EsBMnTmDdunWzeo6JOH78ONavX+82du+99xJjH3/8Ma655ppJn6e3txeZmZmcy/x73/se3nrrLV9Pl0LxBXP64RtcoR4UCmXeIxAI8Itf/AJr167F8PAw2traUFpaigceeABr1qyBWCxGZWUlXnzxRbS3twMYKxt75ZVX6OaFAmBsDV133XWoqanBoUOHcPjwYTgcDtTV1eGWW27B97//fTz11FNISEgIqTUjk8mwfPlytLa2wmQyYXR0FKOjo7h06RKam5uRlPT/27vzsKrKtX/g37WZ5xkHxBFlciRG9aCI5qnUyqOZma9aejSc8lSWmmWT4pSapqZW1mu9efSUWr/MoZxHUFBRQEREREBFmee91+8PZB2WjMpmLzZ8P9fl1VqL51n7hhj2vvf93I+T1POrrp3ugPKd6yonviwtLfXq69FQZmZm6N27N+7cuYP4+HgUFRVBFEVcv34daWlpWlmK2pxUfG9VLHfMzc2ts+qrgkqlQvv27bXS766i6uv27dtS1VdERASio6NljZOr07FjR/j5+UlN7nv16iUtwWxJ3/tELdGxY8ewefNmpcNosEc30nFxcak1EQYAdnZ2eO6557Bjxw4AwJEjRxorPCK9wmQYETU5fn5+2LZtG1599VUUFhYiJycHS5cuxdKlS6uMNTMzw7Zt2+Dn56eT2O7evYvIyEhERERI/63co6q6d/FIGebm5vj000/x0ksv4Y033sCpU6cAAD/88AP279+P8PBwvPTSS1CpVApHWn+CIMDJyQmCICA5OVlKeuXm5sp21HyUkZFRlSb3bBpfztnZGQ4ODrh+/TqSk5OlJaXnz59Hq1at4O7u3qwr5KpT0U+ucvKrPlVf1tbW0pLa/Px8JCcno6ysDBqNBjdu3MD9+/fh7u4OW1vbesVRUfVVVFSECxcuyKq+bt26VetcMzMzPPXUU7Kqr7Zt27Lqi6gFKi4uxpQpUyCKIpycnNCmTRtcvHhRa/e3sLCAi4uL1u5X+b6PcnJykp37+PjU614+Pj5SMiwtLQ1FRUUNrswl0ndMhhFRkzRy5EicO3cOs2bNwp9//lmlt5EgCBg0aBC++OILeHl5NXo86enpCAwMRHJycqM/FmmPIAjo1asXjh49ig0bNuD9999HTk4O7t69i9dffx3bt2/H559/jo4dOzbJF8gajabKcse6ql+A8kSgg4ODlPyq6HlE1TMwMEDXrl3Rpk0b2VLUjIwMZGZmokuXLnB1dW2WX0NRFGW7iGZlZSE3N7fOfnJmZmay5Y6WlpZVEssuLi5ISEiQ+vPk5ORg0qRJsLS0xMqVK6v0dqmo+rp165as6uvChQt1JuM6d+4sq/rq2bMnTExM9CrZTUSN49NPP5XaJqxcuVLWV1QbXnzxRbz44otavWdNHm0bYm9vX695j1Y6P3jwAG3atNFaXET6iMkwImqyPD09ceDAAaSkpODEiRNITU0FUP4Cq1+/fnB1ddVZLEVFRUyE6TFDQ0PMmDEDw4cPx+zZs7Fnzx4A5U1kAwIC8P777yMsLAyGhsr9WXy0yX3FUrS6khImJiYwMDCQ7ThZUFAAW1tbODg41KvBPpWrWIp6+/ZtJCQkoLS0FGVlZYiPj8ft27fh6ekJGxsbpcNsELVaLUuwZmVloaSkpNY5BgYGsspCGxuben1fmZiYoHv37nBxcUFsbCzOnz+P/fv3AwAOHjyIuXPnYvLkybIdHiMjI6Xf9TUxNzeHr6+vbIfH1q1bs+qLiKqIiYmRVhYMGjQI48eP13oyTJdat24Ne3t73L9/HwDqfKOgwqNvpLEqjIjJMCLSA66urnj55ZeVDkPi5OSEp556Cr6+vvD19cULL7ygdEhUD4IgoGPHjvjll1+wc+dOzJ49G+np6cjPz8e8efOwY8cOrF27Fr169dLJC+qysjIpKVGxFK2uJveVl6JVLHeseEKbm5uL2NhYZGdnAwBu376Nu3fvwt3dHa1bt2aSoJ4EQYCLiwucnJyQkJCA27dvAyj/+p49exaurq7o0qWLXiwzfdJdRM3NzatUfTXk+8fOzg4BAQGIioqCqakpioqKkJOTg/fffx+rVq1CZmZmrfPd3NxkVV89evSAiYkJv6eJqFYajQZTpkxBaWkpTExMsGHDBqVD0ooBAwbgl19+AQAkJSXVa07lccbGxvVerk7UnDEZRkRUD/b29tixYwf8/PzQoUMHpcOhBlCpVBg9ejRCQ0Mxb948qaHu+fPnERwcjFmzZmHevHnV9up4UqIoIj8/X1b1lZeXV+c8c3NzKSFha2sLCwuLGpd9WVlZwc/PD7du3cK1a9dQVlaG0tJSxMTESFVNNW27TlUZGxvD29sbbdu2RWxsrNSfLSUlBRkZGXB3d0erVq2aVELmSRKshoaGsgSrjY1NgxN9Fcm2goICREdH48yZM1LVl4mJCTp06CAtWXo0EWZpaSn1+qqo+nJ2dmbVFxE9ti+//BKnT58GAMybNw/dunVTOCLtGDlypJQMi4qKQmZmZp0bvhw4cEA6DggI4O9TIgBCXe8ONhJFHpSIqDFUfkLBBvr6RRRFHD58GGFhYYiLi5Oud+rUCatXr0ZoaOgTPWEsKSmRJb6ys7OhVqtrnWNoaFhlKdqTJiWKiooQHx+PO3fuSNdUKhU6d+6MDh06sI/SY9JoNLh58yYSExNlOyja29vDw8NDq4nT+hJFEQUFBVWqvupSsYtoRfLLwsKiwS+KRFGERqNBcnIyzp49izNnziAyMhKXLl2qMRnXqVMnpKeno7CwULpmb2+PZcuWYdKkSfweJaIGSUlJgbe3N3Jzc9GtWzdcvHhR2gxl4MCB0o6KEyZMwNatWxWM9PHl5uaiU6dO0psJ8+bNw+LFi2sc/+uvv2LEiBHS+YoVK/DWW281epxET0CnWVomw4iIGojJMP1XUFCAxYsXY/ny5bL+Sa+88goWL14MR0fHGhMGGo1G2nmv4l/lF/jVEQQBlpaWssSXubm51t+pvXv3LuLi4mS9QiwsLODl5cUlEk+gsLAQ8fHxuHv3rnRNpVKhY8eO6NixIwwMDBrtsUtLS2VVXzk5OfWq+qpcWaiNXUQrnjfm5+fj/Pnzsl5fGRkZtc61srKCr6+vVPXVp08f/Pjjj/jkk09kPe/69++P9evXo0ePHg2KlYharuHDh+O3334DAPz5558YNGiQ9DF9T4YBwKpVq/Cvf/0LQPnv+h9++AEvvfRSlXEXL17E4MGDpb9bDg4OuHHjBiwtLXUaL1E9MRlGRKRPmAxrHkRRxMWLFxEWFoaTJ09K1x0dHREeHo4xY8YAAK5du4Zjx47hzJkziI6OxnvvvQcrK6ta713Rn6MiMWFtbd2oiZPKysrKkJiYiJs3b8quu7i4oGvXrnrR+6qpuXPnDuLj42VJRnNzc3h4eNS5VKU+Hl1Wm5WVJS3TrE1FgrXie00bCdaKqq+kpCQp8RUREYGYmBiUlZXVOtfDw0PW68vb2xtGRkZVYkpJScGcOXPwn//8R7pmYGCAgwcPYuDAgQ2Kn4hanu3bt0u9ZsePH4/vv/9e9vHmkAwrLS3F0KFDcejQIenaiy++iNGjR8PFxQUPHjzAgQMHsGXLFqnJviAI+PXXX/Hcc88pFTZRXZgMIyLSJ0yGNS9lZWXYuHEjFixYgJycHOl69+7dkZqaigcPHsjGL1iwAH5+ftJ5RZP7ylVfTaHZd05ODq5cuYLc3FzpmrGxcZPsfaUP1Go1rl+/juTkZFlD+tatW6Nbt27Scpz6KC0trbKstq5Ek5GRkSzxZW1t3eDdUCs+j7y8PJw7d05W9VW5Gq46NjY2sqqvwMBAODg4QBCEen9v7du3DzNnzkRCQgK8vb0RFRXFZC0RPZYHDx7A09MTGRkZsLe3R1xcHJycnGRjmkMyDACysrLwzDPPSH3RamNsbIzNmzfjf/7nf3QQGdET0+mTUTbQJyIiQvlyx/j4eJw5cwaXLl2Ci4uLLBkWExNT7byMjAy0adNGtvNeU+x3ZG1tDX9/f6SkpCAxMRFqtRolJSW4dOmS1GDfzMxM6TD1hoGBAbp27YrWrVsjLi4OWVlZAID09HTcu3cPbm5uaNeuXZVEkCiKyMvLkyW+6qr6qlhWW7m60MzMTGtVX4mJibKqr8uXL9fa404QBHh4eCAgIAABAQEICgqCl5cXDA0NGxTT0KFDcenSJSxfvhzBwcFMhKvPvtoAACAASURBVBHRY3vrrbekJdvLli2rkghrTmxtbXH8+HEsW7YMX3zxBdLT06uMUalUePbZZ/HZZ5+hZ8+eCkRJ1HSxMoyIqIFYGaa/Tp06hT/++AOnT5/GmTNnkJ2dXet4c3NztG7dGk5OTnj++ecxevRotG3bVkfRak9RURHi4uKq9L7q0qUL2rdv3ySTeU2ZKIq4ffs2EhISZH28rK2t4ebmBo1G81ibKRgbG1ep+mrostqK53u5ubmIjIyUVX09uqPjo2xtbeHn5yclvgICAmBnZ/dYVV9EpIyCggIcOXIEf/31F6KiohAXF4fMzEwIggA7Ozt4e3tjwIABmDRpkl7+Pavs0KFDUm+w/v374+jRo9X+jmoulWGVqdVqnDhxAgkJCbhz5w4sLCzQrl07BAcHw9HRUenwiOqLyySJiPQJk2H6a86cOVi9enW1H1OpVOjRowf8/f3Ro0cPnDx5Etu3b5eSCgYGBpgxYwbmz5+vl41oRVGUel9V9BMByvtOeXl5wcbGRsHo9FNxcTFiY2PrXFJYmSAIsLKykiW/TE1NtVb1lZCQIKv6unLlimxHzOri8fLyklV9eXh4NLjqi4h0KyMjA7Nnz8avv/4q26CiJkZGRnj77bexaNEiGBsbayWGbdu2Yfz48Vq5V2XVPdcqKipCjx49cO3aNRgZGSEqKgre3t7Vzm+OyTCiZoLLJImIiHQhMDBQOm7VqpVU9RIYGAhfX19ZkmvGjBmYOnUqwsLCEBsbC7VajTVr1mDPnj1YtWoVBg8erFfJAkEQ0KpVK9jb2yMxMREpKSkAyvtFnT17Fq6urnBzc2twH6rmrLi4uEqvr9oSTQBgYmIi2+HRyspKa1Vf2dnZiIyMREREhJT8erTH3aPs7e1lVV/+/v6wtbVl1ReRnktJScH27dtl1wRBQOfOndG6dWsYGBggISEBaWlpAMp7Fy5ZsgTR0dHYtWuX1hJiurJo0SJcu3YNAPD222/XmAgjIqrAZ7hERNRihYSE4KeffkJgYCDat29f64t/QRAwcOBAnDt3DkuWLMHSpUtRUlKCpKQkvPDCCxg7diyWLFkCR0dHvUoiGBkZwcPDA23atMGVK1eQl5cHoPyF1J07d+Dh4QFnZ2eFo1SeRqNBbm6uLPFVWFhY6xxBEPBoBb6lpSW6du0Kc3PzJ45FFEWo1WokJCTgzJkzUuIrNja2yuNVplKp4O3tLav6cnd3h4GBgV59zxJR/QmCgEGDBuG1117D008/XWXJ3JEjRxAWFoYrV64AAPbu3YuFCxdi6dKlDX5sCwsLuLi4NPg+1d23spSUFKxcuRIA0KlTJyxcuFDrj0lEzQ+XSRIRNRCXSbY8oiji0qVLCAsLw4kTJ6TrDg4OCA8Px8svv6yXfbc0Gg1u3ryJxMREWYWTk5MTPDw8YGpqqmB0ulVUVCRLfOXk5NRZ9WVqaipb7mhlZYXi4mLExcXh3r170jiVSgVTU1P4+PjUuWlBxfO0rKwsRERESFVfkZGRUtP+mjg6OsLPz0/a3dHPzw82Njas+iJqAc6fP4/Fixfj448/hpeXV61js7Oz0bdvXykhZmxsjJs3b6JVq1a6CLXBoqOj0adPH63c69ChQxg4cKBW7kVEj409w4iI9AmTYS1XWVkZvvrqKyxYsEDWfH/w4MFYtWoVOnXqpJdJh8LCQsTGxsoaqxsYGMDNzQ2urq56+TnVRqPRICcnR5b8KioqqnWOSqWCtbW1lPyytrauNVlY0Z+tqKgIarUa7733HgoKCrBs2TK88MIL0riKqq+KnU0rEl9xcXG1Vn0ZGBige/fusqqvrl27suqLiOpl//79GDp0qHS+ZcsWvP766wpGVH9MhhE1G+wZRkREpA8MDQ0RFhaG4cOH480338Qvv/wCADh48CACAgKwYMEChIWF6V3vFTMzM/Tp0wcZGRmIj49HSUmJlKBJS0uDp6cnrK2tlQ7ziYiiWG3VV11vDpqZmcl6fVlaWj5W9Z+zszPs7e1x/fp1fPXVV0hISAAAjBs3DqGhoRg7diyuXbsmJb9ycnJqvZ+jo6Ms8eXn5wcrKytWfRHREwkNDYWZmZm0/DsuLk7hiOrPwMDgsTZ9ycvLk3b1NTIyki1bZ59MopaDlWFERA3EyjACyquLfvnlF8yaNQu3b9+Wrvfu3Rtr165Fnz599DJJUVpaioSEBKSmpkrXBEFA+/bt0aVLlwY3f29sarVaVvWVlZWFkpKSWucYGBhIVV8VyS9tJDRFUURZWRl27dqFxYsX4+rVq9LHDA0NUVZWVu08Q0ND9OjRQ5b8qvja6+P3FBE1TW3atEF6ejoA4J///Ce++uorhSNqHNxNkqjJYmUYERGRvlGpVBg5ciRCQkIwf/58bNq0CaIoIjo6GgMHDsT06dOxYMEC2Q6V+sDIyAheXl5o06YNYmNjkZ+fD1EUkZycjIyMDHh4eMDJyUnpMAGUJ5sKCwtlVV+5ubl1Vn2Zm5vLEl8WFhYN7vlW8ZiZmZlSg/uzZ8/i3LlzyM3NBQB4enri5s2byM/PlyXC7O3t0b9/f/j7+yMoKEja2ZRVX0TUWAoLC3Hnzh3pnBunEFFzx2QYERGRlgiCAHt7e2zYsAGvvPIKpk2bhtjYWKjVanzxxRfYvXs3Vq9ejSFDhuhdUsPOzg6BgYG4ceMGkpKSoNFoUFRUhOjoaLRq1Qru7u4wMTHRaUxqtVqW+MrOzq5X1VdF4qvinzarvi5fvoyzZ89KCbBr167VOCc2NhY2NjZo27atrJowKysL7du3x4wZMx5r6Q8R0ZPavXu3bJOQoKAgBaMhImp8XCZJRNRAXCZJNSksLER4eDjCw8NlSZoxY8YgPDwcTk5OepcUA4D8/HzExcXh/v370jVDQ0O4ubmhXbt2jfI5iaKIgoICWeIrLy+vzqovCwuLKlVfDY2v4jHv3r0rS3ydP38eeXl5tc5t06YNAgICpKqvp556ChYWFjh27BjCwsKk3dwqxq5atQovvfSSXn6fEJF+KCsrg4+PDy5dugSgvCrs5s2bOn+DQ1e4TJKoyeIySSIioubAzMwMixYtwqhRoxAWFobjx48DALZv346DBw9iyZIlGDt2bIOX5OmahYUFfHx8kJaWhqtXr6K0tBRlZWWIi4tDWloavLy8GrwctKysrErVV2lpaa1zDA0Nq1R9GRkZNSgOoDz5VVpaipiYGFny6/r167XOMzIyQu/evREQEIDAwEAEBgaiQ4cO1fb6GjBgAKKiorBq1Sp89NFHKCwsRFpaGl5++WV4enqiZ8+eDf48iIiqEx4eLiXCAOD9999vtokwIqIKrAwjImogVoZRfZSVlWHz5s2YP38+srKypOuhoaFYtWoVOnfurJfVPyUlJUhISJAt8xMEAR06dEDnzp3r1WBfFEXk5+dXqfqqi6WlpSzxpc2qr4yMDERERODMmTOIiIhAVFQU8vPza53r4uIiq/ry8fGBubn5Y/f6unHjBmbOnInffvsNr732Gr7++usGfU5ERDXZt28fnn32WWmJZN++fXH06NEmvzlKQ7AyjKjJ0ukTYSbDiIjqacqUKfjf//3fKteLi4ulY0NDw2qfQBYVFTVqbKQfRFHErVu38Oabb+Lnn3+WrpuZmWH+/PmYMWOGVvpXKeH+/fuIjY1FQUGBdM3MzAyenp5wcHCQjS0tLa1S9VXTTooVjIyMqlR9GRo2vMBdFEWUlJTg0qVLUpP7s2fP4saNG7XOMzY2Rp8+fWRVX+3bt4dKpdJKUlMURezZswf9+vWDo6Njg+9HRPSo2NhY9OvXDw8ePABQ3hsyKioKHTp0UDgyImqhmAwjImqKJk6ciO++++6J5ir0u5aaKI1Gg127dmHWrFlITU2Vrvfq1Qtr166Fj4+PXlaJqdVqqcF+5e95BwcHODg4IC8vD9nZ2XVWWAmCUKXqq6LCqiFEUYQoisjIyMCZM2ek5Y5RUVEoLCysda6rq6us6qtPnz4wMzPjDo9ETcDJkyfx3Xff4dixY0hNTYUoimjXrh369++PCRMmoF+/fkqHCADYtm0bxo8fr/X7PklVekpKCvr164eUlBQA5bvqHjhwAH379tV6fERE9cSeYUREVD9ZWVk4dOgQDh06hOjoaFy9ehUPHjyAkZER7O3t0atXL4SGhmLChAmws7NTOlx6SKVS4cUXX0RISAgWLFiAjRs3QhRFXLhwASEhIQgLC8OCBQtgZWWldKiPxcDAAK6urjA2NkZSUpJUNZmZmYnMzMwa5xkbG1ep+mroEp2KZFxJSQkuXLggq/q6efNmrXNNTU2rVH21a9dOa1VfRKQd+fn5mDVrFr755psqH4uNjUVsbCw2b96MSZMmYe3atbCwsFAgyqYnIyMDgwcPlhJhJiYm2LVrFxNhRNSisDKMiEgPxcXF4Z133sH+/ftluxTWxNzcHJ999hlmz57NF/NNjCiKOH78OKZNmybbSbBDhw5YtWoVnn766Sb7/0yj0SA/Px9ZWVnScsfKyyRrYmFhAXt7e2mHR1NTU61VfaWlpUlVX5GRkYiKiqpzmXKHDh3g7++PgIAABAUFoXfv3lJMTfVrT9TSqdVqPPvss9i/f790zczMDN7e3jA0NMSVK1eQk5Mjfezpp5/G77//rmgvrF9++QUzZ87U+n1XrVqF0aNH12vs/fv3MXDgQKlhvqGhIXbu3Innn39e63ERET0mLpMkIqLa7dy5s8oTXwMDA7i5uaFVq1ZQq9WIjY3F/fv3ZWMmT56MTZs28QV+E1RYWIhly5ZhyZIlsj50L730EsLDw+Hs7Kz4/7eSkhJZ4isnJwdqtbrWOcbGxhAEQfY5CYKATp06oWPHjk/0wrTiuUtxcTGio6NlVV+3bt2qda6ZmRmeeuop+Pv7S1Vfbdu2ZdUXkZ6ZP38+lixZIp1PmTIF4eHhsLe3B1BeNbZ06VJ88sknsjmfffaZzmNtKnJychAaGorIyEgA5VXKP/74I8aMGaNwZEREAJgMIyKiulQkwwwNDTFs2DBMnDgRISEhsLa2lsZUNOCePn26rC/V+vXr8cYbbygRNtVBFEVcvnwZ06dPx9GjR6Xr9vb2WLx4McaNGweVSqWTWDQaDXJzc2VN7uvqqyUIAqytrWXLHSsqrDIzMxEbGyu7h0qlQklJCZ555pla71tR9ZWamiqr+oqOjpYl2arTqVMnWeKrV69eMDEx0dnXkYi07/bt2+jSpYtU9Tl+/Hh8//331Y5duHAhPv30UwDlS6ATExPRtm1bncXaVOTn52Po0KE4ceIEgPLf199++y0mTJigcGRERBImw4iIqHa7d+/Gb7/9hoULF6J9+/a1jk1JSYG/vz/S09MBAI6Ojrh9+zaMjIx0ESo9AbVajc2bN2PevHnIysqSroeEhGD16tXo0qWL1quYiouLq1R9aTSaWueYmprKEl/W1ta1JpnUajWuX7+O5ORkiKKI77//Hj///DOGDx+O1atXo3Xr1lLVV1FREaKioqSqr4iICFlStzrm5ubw9fWVkl8BAQFo06YNq76Impm5c+di+fLlAMp/7lNSUqSKsEeVlJTAzc1N6o81d+5cLF26VGexNgVFRUV47rnn8Ndff0nXNmzYgGnTpikYFRFRFUyGERGRdm3atAlTp06Vzg8ePIjQ0FAFI6K6iKKIW7duYc6cOfjPf/4jXTczM8O8efMwc+ZMGBsbP9G9K6q+Kie/6uqrpVKpqq36ehK5ubnYt28fJk2aJCXcrK2tMW7cOIiiiMjISFy8eLHOfnhdunSRVX317NkTxsbGrPoiaua6du2Ka9euASjf6fnbb7+tdfyHH36Ijz/+GADg5uaGhISERo+xqSgpKcGLL76I33//Xbq2atUqvPnmmwpGRURULSbDiIhIu9LS0mTLQtatW4fp06crGBHVl0ajwe7duzFr1ixZP6yePXti7dq1eOqpp+qseioqKkJ2draU/MrNza2z6svMzEyW+LKysmpwkqniOUdhYSEiIyOxdetW7Nmzp87llwBgaWkp9foKCgpCYGAgnJ2dWfVF1MLEx8fDw8NDOv/pp5/q7Hl1+vRpBAUFSedxcXFwd3dvtBibCrVajTFjxsjeUFm8eDHmzZunYFRERDXS6RM6Q10+GBERKePR5SOVd9iipk2lUuGFF17AwIED8f7772PDhg0QRREXL15ESEgI3njjDSxcuBCWlpYQBAH5+fk4efIkTpw4gby8PIwYMaLOvloqlUqW+LKxsYGJiUmDYxdFERqNBsnJyVKD+4iICFy6dAmlpaUAABsbG7Rv3x7x8fGyuQ4ODhgyZAj69euHwMBA9OjRQ2rGT0Qt14ULF2TnlZNcNfHx8YGxsbFUbXrx4sVmnwwTRRGvvfaaLBH2wQcfMBFGRPQQk2FERC1AcnKy7NzZ2VmhSOhJCIIAOzs7rFu3DmPHjsW0adNw+fJlaDQafPnll/j999/h5eWFxMREXLt2DWVlZQDKE01PP/10lQSSubm5LPFlaWmptaqvgoICnD9/HmfOnEFERAQiIiKQkZFR47zs7GxoNBr4+/sjLi5OStRmZmbi0qVLmDFjBnx9fRsUGxE1H7GxsdKxsbExXF1d65xTMS4xMbHKPZqrHTt2yDYVMDU1xZkzZ/D3v/+9XvN79uyJZcuWNVZ4RESKYzKMiKgF+Pnnn2Xn9XknnZqewsJCaDQajB07Ftu2bUNcXBwAICkpCUlJSVXGZ2dn4+7du/Dw8JAlv56011hlFVVfSUlJiIiIkJJfMTExUjKuJu7u7rJeX927d4eRkRHy8/OxaNEirFq1ChqNBpcvX0b//v0xdepUhIeHw9bWtsFxE5F+u3HjhnTcrl27eleLtm/fXkqGVb5Hc1VQUCA7Lyoqwr59++o9v64+kkRE+o7JMCKiZi47Oxtr1qyRznv27AkvLy8FI6L6EEUR169fx6lTp3D69GmcOnUKFy5cgFqtrnVe69at4e7ujkGDBiE4OBg+Pj4wNGzYn/uKqq+8vLwqVV93796tda6NjY20w2NFry8HBwcIglDlRaylpSVWrFiBcePG4Z///CciIyMBAF999RW8vb0xc+bMBn0eRKT/cnNzpWMbG5t6z7O2tq72HkRE1DIxGUZE1My99dZbSE9Pl84//fRTBaOh+srLy0PXrl1R20Y3NjY2CAgIgJGREa5evYrU1FSkp6cjPT0dgiDg+eefh4GBwWM/dkXVV2JiIiIiIqR+X5cvX641GScIAjw8PGRVX97e3jA0NHysXl99+vTB6dOnsW7dOrz//vvo2rUr3njjjcf+PIio+cnLy5OOH2dHWzMzs2rv0VxNnDgREydOVDoMIqImi8kwIqJmbMuWLfj666+l8zFjxmD48OEKRkT1ZWVlhe7du+PSpUsAyhNN3t7eUnVVUFAQ3N3doVKpIIoiUlNTMWfOHOzcuRMAcPjwYQQFBeG9997DzJkza2yIX5Fsy83Nxblz56Sqr8jISNy7d6/WGG1tbeHn5ydLftnb21db9fW4DAwMMHv2bIwcORK5ubkNrm4jau6ysrJw6NAhHDp0CNHR0bh69SoePHgAIyMj2Nvbo1evXggNDcWECRNgZ2endLhPrPIy7Mf5vVB5bMUGHkRE1HIJtb3j3IgUeVAiopbk6NGjGDJkiLR7VqdOnRAVFfVYy0pIWV9++SXu37+PoKAg+Pv7y5b5VEej0WDPnj2YNWsWUlJSpOvdu3fHunXrpEb0Go0GCQkJsqqvK1euQKPR1HhvQRDg5eUlS3x5eno+dtUXEWlXXFwc3nnnHezfv1/6fV8bc3NzfPbZZ5g9e7Ze/uyOGDECv/76KwDAz88PZ8+erde80aNHS28WjBgxArt37260GImI6Ino9I8S32YlImqGoqOjMWLECOmFkbOzM/744w8mwvTM9OnTH2u8SqXC888/j4EDB2LhwoVYv349NBoNYmJiMGjQIPj6+sLKygpRUVG4f/9+rfeyt7eHn58fAgICEBgYiICAANja2mql6ouItCcmJga//fab7JqBgQHc3NzQqlUrqNVqxMbGSj/zBQUFmDNnDi5fvoxNmzbp3c+zpaWldFxYWFjveZUbyle+BxERtUxMhhERNTPx8fEYOnQosrOzAQB2dnbYv38/unXrpnBkpAuCIMDW1hZffPEFxo4di6lTpyImJgYajabGCgqVSgVvb2+p6qtiCaaBgYHevVAmaqkMDQ0xbNgwTJw4ESEhIbJKUlEUsWfPHkyfPh2pqakAypfR+/j46F0/PkdHR+k4LS2t3vMq9850cHDQakxERKR/mAwjImpGkpKSMHjwYNy5cwdAed+pvXv3olevXgpHRromCAL69u2LiIgIhIeH46OPPpI+5uDgICW+AgIC4O/vDxsbG1Z9EekhIyMjTJ48GQsXLkT79u2rHVOxoYaPjw/8/f2lxNAHH3yAyZMnw8jISJchN4i7u7t0nJmZiYKCApibm9c5r/LScQ8Pj0aJjYiI9Ad7hhERNRO3bt1CcHAwkpKSAJT3hdm7dy+Cg4MVjoyUJooi5s6di0OHDmHNmjUICAhg1RdRC7Vp0yZMnTpVOj948CBCQ0MVjOjx/PXXX7J4T5w4gb59+9Y6JzU1Fe3atZPdIyQkpNFiJCKiJ6LTJ6YqXT4YERE1joyMDAwePFhKhJmYmGDXrl1MhBGA8qqQ5cuXIzIyEv369WPTe6IW7NEdhePi4hSK5Mn4+/vLdsc9fvx4nXOOHTsmHZuamsLf379RYiMiIv3BZBgRkZ7LzMzE4MGDER8fD6B8yczOnTsxZMgQhSMjIqKmxt7eXnaek5OjUCRPxtLSUlYZ9sMPP9Q5p/KY0NBQWFhYNEpsRESkP5gMIyLSY9nZ2Rg6dChiYmIAlO8g9uOPP2LYsGEKR0ZERE1RcnKy7NzZ2VmhSJ7cxIkTpeOLFy/i119/rXHs+fPnsXfv3mrnEhFRy8VkGBGRnsrPz8dzzz2Hc+fOASjfEfC7777DqFGjFI6MiIiaqp9//ll2HhQUpFAkT27UqFGyjWGmTp1a7XLPtLQ0vPrqq1Cr1QCA3r174x//+IfO4iQioqaLDfSJiPRQcXExhg0bhoMHDwIo7wm1ZcsWvPbaawpHRkRETVV2djY8PDyk3SR79uyJCxcuKBzVk4mIiMCAAQNQWFgIALC2tsYbb7yB4OBgGBoa4uzZs1i3bh0yMjIAAGZmZjhy5Aj8/PyUDJuIiGqm04a2TIYREemhZcuW4d1335XO7ezsHqsh8JAhQ/DWW281RmhERNRETZ48GV9//bV0vmfPnioN9fXJzz//jFdffVVKiNXEzMwM27Ztw8iRI3UUGRERPQGdJsMMdflgRESkHQUFBbLzBw8eYN++ffWe37p1a22HRERETdiWLVtkibAxY8bodSIMAEaOHIlz585h1qxZ+PPPP/Hom/yCIGDQoEH44osv4OXlpVCURETUFDEZRkREWldaWorz58/j5MmTuHjxIuLi4pCcnIysrCyUlpbC2toarq6u8PX1xejRozFkyBCoVGxjSUTUGI4ePYrp06dL5506dcJXX32lYETa4+npiQMHDiAlJQUnTpxAamoqAMDFxQX9+vWDq6urwhESEVFTxGWSRESkde+88w5WrFhR7/G9e/fGN998gz59+jRiVETU0t24cQPe3t6y6toPP/wQixYtUi6oRhYdHY2BAwciOzsbQPnukceOHUO3bt0UjoyIiEiGyySJiEi/PfpGi4WFBbp06QI7OzsIgoD09HRcvXoVGo0GQPmLteDgYOzduxf9+/dXImQiagGmTZtWZZl5cxYfH4+hQ4dKiTA7Ozvs37+fiTAiImrxmAwjIiKtMzMzw7BhwzBixAgEBwfD3d29ypi7d+9izZo1CA8Ph1qtRl5eHl555RVcuXIFlpaWCkRNRM3Ztm3bHqu3or5LSkrC4MGDcefOHQCAlZUV9u7di169eikcGRERkfK4TJKIiBS1ZcsWTJkyRTr/5ptvMGnSJAUjIqLm5t69e/D09JT+m52djdu3bwNonsskb926heDgYCQlJQEAzM3NsXfvXgQHByscGRERUY10ukyS3YqJiEhRkydPRpcuXaTzw4cPKxcMETVLc+bMwb179wAAGzduhJGRkcIRNZ6MjAwMHjxYSoSZmJhg165dTIQRERFVwmQYEREpzsfHRzpOT09XMBIiam7279+Pbdu2AQAmTZrUrJNCmZmZGDx4MOLj4wEARkZG2LlzJ4YMGaJwZERERE0Lk2FERKS4srIy6djKykrBSIioOSkoKMC0adMAAI6Ojli+fLnCETWe7OxsDB06FDExMQAAAwMD/Pjjjxg2bJjCkRERETU9TIYREZGiSktLcerUKek8KChIwWiIqDlZuHChtFxwxYoVcHBwUDiixpGfn4/nnnsO586dAwCoVCp89913GDVqlMKRERERNU1MhhERkaIWLFggLY20t7fHxIkTlQ2IiJqFc+fOYc2aNQCAAQMGYMKECQpH1DiKi4vxwgsv4MSJEwAAQRCwefNmjBs3TuHIiIiImi5DpQMgIqKWpaysDHfv3sWZM2ewfv16HDhwAABgamqK//u//2u2lRtEpDtlZWWYPHky1Go1jI2NsXHjRqVDajRr1qzBwYMHpXNbW1v8+9//xr///e96zR8yZAjeeuutxgqPiIioSWIyjIiIGp2joyMyMzOr/ZggCBgyZAhWrlyJ7t276zgyImqOVq5ciejoaADAu+++Cw8PD4UjajwFBQWy8wcPHmDfvn31nt+6dWtth0RERNTkcZkkEREpql+/fpg2bRq8vLyUDoWImoHExER89NFHAAA3NzfMnz9f4YiIiIioqWFlGBERNbrQ0FBkZ2cDKO9vk56ejqtXr0Kj0eD48eM4fvw4/Pz8sH37dnTq1EnhaIlIn02dOhWFhYUAgA0bNsDU1FThiBrXokWLsGjRIqXDICIi0itM9EIrNAAADF9JREFUhhERUaPbvn17lWv379/Hli1b8PHHHyM/Px8REREYMGAAIiMj4ezsrECURKTvvv32W/z5558AgHHjxmHw4MEKR0RERERNEZdJEhGRIuzt7TF37lwcO3YMVlZWAICUlBQ2ciaiJ3Lnzh28/fbbAAA7Ozt8/vnnCkdERERETRWTYUREpKg+ffpgwYIF0vlPP/2E+/fvKxgRUfOUlZWFb7/9FsOHD0e3bt1gZWUFa2trdOvWDYMGDcLChQtx6NAhFBcXKx3qE5k1a5b0uyM8PJwVpkRERFQjQRRFJR5XkQclIqKmKTExEW5ubtL5H3/8gaFDhyoYEVHzsnXrVrz99ts17upa2Y4dOzBq1CgdRKU9p06dQt++fQEAQUFBOHHiBARBqHF8x44dkZycDAD48MMP2XOLiIhIeTX/4W4ErAwjIiLFubq6ys7r84KdiOomiiKmTJmCSZMmyX6u2rZti8DAQISEhMDb2xuGhvrdRjYjI0M6PnXqFFQqFQRBqPFfRSIMAD766CPZx27cuKHAZ0BERES6pN/PfIiIqFmo2Gmygq2trUKREDUvs2fPxpYtW6TzUaNGYeHChejZs6dsXFFREQ4dOoRt27bB2NhY12ESERER6RSTYUREpLijR4/Kzrt06aJQJETNx/79+7F27Vrp/PPPP8ecOXOqHWtqaopnnnkGzzzzjK7C0yojIyPY2NjUe3xOTg4qWoWYmJjA1NRU+phKxYUTREREzR17hhERkaJKSkoQEBCA6OhoAOWJsGvXrikcFZF+Ky0tRbdu3aQlfxMmTMDWrVsVjakpYc8wIiKiJoc9w4iISH8dOHAA77zzDm7fvl3n2LS0NAwfPlxKhAHAe++915jhEbUIu3fvlhJhxsbGWLZsmbIBERERETUhXCZJRERalZ+fjxUrVuDzzz9H37598be//Q09evSAo6MjzM3NkZeXh+vXr+PYsWPYvXs3CgoKpLkjRozA66+/rmD0RM1D5T5hzz//PJydnRWMhoiIiKhpYTKMiIgahUajwfHjx3H8+PF6jZ80aRI2btwIQdBphTRRs1NaWorDhw9L58OGDVMuGCIiIqImiMskiYhIq3x9ffGvf/0LXl5edSa2jI2N8Y9//ANHjhzBN9980yR2sbtx4wYsLCwgCIL0j/2ESJ9cuHABxcXF0nlgYCAA4OTJk5g0aRLc3NxgZmYGOzs7eHt7IywsDKdPn1YqXCIiIiKdY2UYERFpVbt27bBy5UqsXLkSWVlZuHDhAq5fv4579+6huLgYFhYWsLOzg6enJ3r16iXbxa0pmDZtmmzpJpG+uXjxonSsUqng4uKCqVOnYtOmTbJxRUVFyMrKwpUrV7BhwwaMHj0a33zzDSwtLXUdMhEREZFOMRlGRESNxtbWFgMGDMCAAQOUDqVetm3bhn379ikdBlGDZGZmSsdOTk54/fXXsX37dgCAIAjw8vKCs7MzMjIycOXKFWnsjh07kJiYiGPHjsHc3FzncetSxeYCRERE1DJxmSQRERGAe/fuYc6cOQAAT09PtG3bVuGIiJ5MVlaWdJyRkSElwp599llcv34dMTEx+Ouvv3D58mVcu3YNTz/9tDT+/PnzmDlzps5jJiIiItIlJsOIiIgAzJkzB/fu3QMAbNy4EUZGRgpHRPRkKvcLqzB06FDs2bMHHTt2lF3v0qULfvvtN4SEhEjXtm7divj4+MYOk4iIiEgxTIYREVGLt3//fmzbtg1A+a6WwcHBCkdE2nbnzh0sX74cf//739GuXTuYm5vD1NQUbdq0QUhICD744AMkJSUpHaZWWFhYyM5VKhXWr18PAwODascbGRlh/fr10oYXGo0GW7dubewwiYiIiBTDZBgREbVoBQUFmDZtGgDA0dERy5cvVzgi0rbVq1ejY8eOmDt3Lvbt24fU1FQUFhaiuLgY6enpOHz4MD755BN07doVc+fORWlpqdIhN8ijDfCDgoLQuXPnWud4eHjA19dXOj9y5EijxEZERETUFDAZRkRELdrChQuliqAVK1bAwcFB4YhIm9577z3MmTMHhYWF0rW2bdsiODgYAwYMQPv27aXrarUay5cvxyuvvAJRFJUIVyucnJxk5z4+PvWaV3nc9evXtRoTERERUVPCZBgREbVY586dw5o1awAAAwYMwIQJExSOiLTp+PHjWLp0qXTerVs3HD58GKmpqThy5AgOHz6M5ORkREREyBJBO3fuxHfffadEyFrh4eEhO7e3t6/XvMqJ4AcPHmg1JiIiIqKmhMkwIiJqkcrKyjB58mSo1WoYGxtj48aNSodEWrZu3Trp2MbGBocOHcKAAQOqjPP19cVff/2FDh06SNe+/PJLncTYGLy8vGTn1TXUr05RUZF0bGpqqtWYiIiIiJoSJsOIiKhFWrlyJaKjowEA7777bpVqGtJ/x44dk47Hjx+Ptm3b1jjWxsYGM2bMkM7PnTuHkpKSRo2vsVhbW6NPnz7SeX03Bqg8rlWrVlqPi4iIiKipYDKMiIhanMTERHz00UcAADc3N8yfP1/hiKgx3L17Vzru3r17neMrjxFFEffu3WuUuHRh5MiR0vHhw4fr3BSguLgYR48elc4DAwMbLTYiIiIipQn63CCWiIjoSQiCcBBA6MPTIaIoHqxmzA0AFevmPhJFcZFuoiNtEQThPgC7h6ezRFFcW8f45wHsengqArASRTG/EUNsNIIgdABwFYDxw0tTRVHcVMv4mQC+qHRplCiK/2nEEImIiIgUw8owIiJqUQRBmIT/JsJ+qC4RRs3G2UrHwfUYX7mhWLS+JsIAQBTFZACVG+GtFASh2q+BIAihAMIrXYoF8EsjhkdERESkKCbDiIioxRAEwRnAioenDwD8S8FwqPGtr3Q8UhCEQTUNFAShN4CplS6tqGmsHvkAwOWHx5YA/hIE4VtBEP4hCMLfBEEYJQjC9wD2AzB/OK4IwKuiKGoUiJeIiIhIJ5gMIyKiluQLAPYPj98TRfGOksFQ4xJFcQ+AiqWRKgB7BUFYLAhCD0EQTAVBMBEEwUMQhAUAjuG/CaHPRVH8UYmYtUkUxWwAz6J8uSQAGACYCGAngKMAdgAYj/8+H8wG8Lwoiud1GykRERGRbrFnGBERtQiCIAQBOPnw9BSAfmItfwTZM6z5eNgPayEApzqGxgMIF0Vxa6MHpUOCIJgB+BjAZAC21QwpA7AdwEJRFOu39SQRERGRHmMyjIiIWgRBEF6A9vogdRJF8YaW7kU6IAhCfwCbAXjUMOQOgE8BfCuKYp7OAtMhQRCMUd4XrRMARwA5AG4AOCqKYo6CoRERERHpFJNhRETUIjAZ1jIJgtAewBYAQypdvgMgAUApgPYAOlf62F0AE0VR/F1nQRIRERGRThkqHQAREZGOlKK8J1J9WQMQHh4Xo7yxeAU2F9cDgiB0BHAcgMvDS7EAZoii+Ncj4zxQ3jD/OZQvpdwtCMIIURT36i5aIiIiItIVVoYRERFVgz3D9J8gCEcB/O3haTyAgIdN5asbK6C8b9boh5cyAHQRRTG/0QMlIiIiIp3ibpJERETU7DzcMOFvlS69V1MiDAAebqYwC0DJw0utALzceBESERERkVKYDCMiIqLmqHKPsFIAf9Q1QRTFdABnK10K1nZQRERERKQ8JsOIiIioOXKpdHxXFMWiGkfKpVQ6bq3FeIiIiIioiWAyjIiIiJqj4krHZo8xz7zScaGWYiEiIiKiJoTJMCIiImqO0iod2wmC0Kme83wqHadqMR4iIiIiaiIMlQ6AiIioKRJFsaPSMVCDHH3kfCaAf9U2QRCEUQBcK106ou2giIiIiEh5QvnmSURERETNhyAIKgAxADwfXhIBTBZF8ZsaxgcB+H8A7B5eygDQRRTF/MaOlYiIiIh0i8kwIiIiapYEQRgCYC8Ag0qXjwDYDuAqyneZbA/gOQCjHxk3XhTFbToKlYiIiIh0iMkwIiIiarYEQXgVwGYApvWcUgbgXVEUP2+8qIiIiIhISWygT0RERM3Ww+ouHwD/B6CklqEaAHsA9GUijIiIiKh5Y2UYERERtQiCIFgC8APQDf/tDZYNIBHAWVEUs5SKjYiIiIh0h8kwIiIiIiIiIiJqMbhMkoiIiIiIiIiIWgwmw4iIiIiIiIiIqMVgMoyIiIiIiIiIiFoMJsOIiIiIiIiIiKjFYDKMiIiIiIiIiIhaDCbDiIiIiIiIiIioxWAyjIiIiIiIiIiIWoz/Dz3jNuyG5Y6iAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1500x1000 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt, mpld3\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import matplotlib.cm as cm\n",
    "\n",
    "\n",
    "X = data[:,0]\n",
    "Y = data[:,1]\n",
    "Z = data[:,2]\n",
    "\n",
    "for i in range(45,60):\n",
    "    #让图转起来\n",
    "    import IPython\n",
    "    IPython.display.clear_output(wait=True)\n",
    "\n",
    "    fig = plt.figure(1,(6,4),dpi = 250)\n",
    "    ax = fig.gca(projection='3d')\n",
    "\n",
    "    plt.cla()\n",
    "    #绘制散点\n",
    "    ax.scatter(X,Y,Z,s=5)\n",
    "\n",
    "    #绘制xyz轴\n",
    "    ax.plot([0,0],[0,0],[-10,10],c = 'black',linewidth = 0.8)\n",
    "    ax.plot([0,0],[-10,10],[0,0],c = 'black',linewidth = 0.8)\n",
    "    ax.plot([-10,10],[0,0],[0,0],c = 'black',linewidth = 0.8)\n",
    "    \n",
    "    \n",
    "    ax.view_init(azim=i)\n",
    "    plt.xlim(-X.max(), X.max())\n",
    "    plt.ylim(-Y.max(), Y.max())\n",
    "    ax.set_zlim(-Z.max(),Z.max())\n",
    "    plt.title('PCA')\n",
    "    plt.show()\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-28T07:52:16.096052Z",
     "start_time": "2019-09-28T07:52:16.086050Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.466 , -0.119 , -0.3664],\n",
       "       [ 0.3823, -0.3452,  0.1743],\n",
       "       [-1.0858, -0.2398, -3.3149],\n",
       "       [-2.5468, -2.293 ,  0.0896],\n",
       "       [ 1.1163, -0.1704,  1.1939],\n",
       "       [-8.3776, -4.4755, -5.4804],\n",
       "       [ 6.336 ,  2.919 ,  2.5613],\n",
       "       [ 5.1451,  2.6233,  0.9454],\n",
       "       [-6.6908, -3.8655, -3.8009],\n",
       "       [ 8.7146,  3.0963,  7.1057],\n",
       "       [-3.7568, -1.861 , -3.8863],\n",
       "       [ 1.6788,  0.0988,  1.5444],\n",
       "       [ 2.99  ,  1.9181, -1.4365],\n",
       "       [ 4.2061,  1.3924,  2.8509],\n",
       "       [ 4.4044,  2.2631,  0.5024],\n",
       "       [ 2.5662,  1.119 ,  0.1996],\n",
       "       [-3.7324, -2.6537, -1.3076],\n",
       "       [-2.0326, -0.9396, -3.1188],\n",
       "       [-5.6263, -4.0178, -1.0289],\n",
       "       [-5.7263, -2.817 , -5.0701]])"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#数据在主成分1上的投影坐标是\n",
    "zcf = np.matmul(data_normal,vecs[:,:2])\n",
    "data_ = np.matmul(zcf,vecs[:,:2].T)+data.mean(0)\n",
    "data_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-28T07:52:22.069104Z",
     "start_time": "2019-09-28T07:52:16.635580Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1500x1000 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt, mpld3\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import matplotlib.cm as cm\n",
    "\n",
    "\n",
    "X = data[:,0]\n",
    "Y = data[:,1]\n",
    "Z = data[:,2]\n",
    "\n",
    "X_ = data_[:,0]\n",
    "Y_ = data_[:,1]\n",
    "Z_ = data_[:,2]\n",
    "\n",
    "for i in range(35,55):\n",
    "    #让图转起来\n",
    "    import IPython\n",
    "    IPython.display.clear_output(wait=True)\n",
    "\n",
    "    fig = plt.figure(1,(6,4),dpi = 250)\n",
    "    ax = fig.gca(projection='3d')\n",
    "\n",
    "    plt.cla()\n",
    "    #绘制散点\n",
    "    ax.scatter(X,Y,Z,s=5,label='origin data')\n",
    "    \n",
    "    ax.scatter(X_,Y_,Z_,s=5,label='restructured data')\n",
    "    ax.plot_trisurf(X_, Y_, Z_)\n",
    "    #绘制xyz轴\n",
    "    ax.plot([0,0],[0,0],[-10,10],c = 'black',linewidth = 0.8)\n",
    "    ax.plot([0,0],[-10,10],[0,0],c = 'black',linewidth = 0.8)\n",
    "    ax.plot([-10,10],[0,0],[0,0],c = 'black',linewidth = 0.8)\n",
    "    \n",
    "    \n",
    "    ax.view_init(azim=i)\n",
    "    plt.xlim(-X.max(), X.max())\n",
    "    plt.ylim(-Y.max(), Y.max())\n",
    "    ax.set_zlim(-Z.max(),Z.max())\n",
    "    plt.title('PCA')\n",
    "    plt.show()\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 这关奇异值什么事？"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 奇异值分解  $Singular$ $Value$ $Decomposition$ $(SVD)$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "奇异值分解是一个能适用于任意矩阵的一种分解的方法，对于任意矩阵A总是存在一个奇异值分解：\n",
    "\n",
    "$$A=U\\Sigma V^T$$\n",
    "\n",
    "假设A是一个$m*n$的矩阵，那么得到的$U$是一个$m*m$的方阵，$U$里面的正交向量被称为左奇异向量。  \n",
    "$Σ$是一个$m*n$的矩阵，$Σ$除了对角线其它元素都为0，对角线上的元素称为奇异值。  \n",
    "$V^T$是$V$的转置矩阵，是一个$n*n$的矩阵，它里面的正交向量被称为右奇异值向量。  \n",
    "而且一般来讲，我们会将$Σ$上的值按从大到小的顺序排列。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## SVD分解矩阵A的步骤：\n",
    "\n",
    "1) 求的$AA^T$特征值和特征向量，用单位化的特征向量构成$U$。  \n",
    "2) 求的$A^TA$特征值和特征向量，用单位化的特征向量构成$V$。  \n",
    "3) 将$AA^T$或者$A^TA$的特征值求平方根，然后构成$Σ$。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 我们自己实现"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-28T08:16:56.686459Z",
     "start_time": "2019-09-28T08:16:56.676489Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([[ 0.0517+0.j    , -0.0538+0.j    , -0.9972+0.j    , ...,\n",
       "          0.001 +0.0003j,  0.0074+0.j    , -0.0039+0.j    ],\n",
       "        [ 0.0971+0.j    , -0.0215+0.j    ,  0.0062+0.j    , ...,\n",
       "          0.1118+0.0374j, -0.0254+0.j    , -0.2994+0.j    ],\n",
       "        [-0.0001+0.j    ,  0.0584+0.j    , -0.0032+0.j    , ...,\n",
       "          0.0106-0.0014j,  0.0174+0.j    ,  0.0216+0.j    ],\n",
       "        ...,\n",
       "        [ 0.1066+0.j    , -0.0102+0.j    ,  0.0061+0.j    , ...,\n",
       "         -0.3294-0.0294j,  0.0239+0.j    ,  0.0363+0.j    ],\n",
       "        [ 0.3134+0.j    , -0.0641+0.j    ,  0.0197+0.j    , ...,\n",
       "         -0.1346-0.219j , -0.0544+0.j    ,  0.1274+0.j    ],\n",
       "        [-0.2501+0.j    ,  0.8836+0.j    , -0.0606+0.j    , ...,\n",
       "         -0.1349-0.0627j,  0.0195+0.j    , -0.0194+0.j    ]]),\n",
       " array([14.4769, 10.2763]),\n",
       " array([[ 0.9276,  0.3736],\n",
       "        [-0.3736,  0.9276]]))"
      ]
     },
     "execution_count": 119,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#求U\n",
    "valsU,U = np.linalg.eig(np.dot(data_normal,data_normal.T))\n",
    "#以特征值排序\n",
    "U = U[:,np.argsort(-valsU)]\n",
    "valsU = valsU[np.argsort(-valsU)]\n",
    "\n",
    "#求V\n",
    "valsV,V = np.linalg.eig(np.dot(data_normal.T,data_normal))\n",
    "#以特征值排序\n",
    "V = V[:,np.argsort(-valsV)]\n",
    "valsV = valsV[np.argsort(-valsV)]\n",
    "V = V.T\n",
    "\n",
    "#求对角阵\n",
    "vals = valsV**0.5\n",
    "U,vals,V"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-28T08:16:57.352678Z",
     "start_time": "2019-09-28T08:16:57.092379Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(np.real(U))\n",
    "plt.title('$U$')\n",
    "plt.show()\n",
    "\n",
    "m,n = data_normal.shape\n",
    "sigma = np.zeros((m,n))\n",
    "for i in range(min([m,n])):\n",
    "    sigma[i][i]=vals[i]\n",
    "\n",
    "plt.imshow(sigma)\n",
    "plt.title('$\\Sigma$')\n",
    "plt.show()\n",
    "\n",
    "plt.imshow(np.real(V))\n",
    "plt.title('$V$')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-28T08:11:37.982706Z",
     "start_time": "2019-09-28T08:11:37.975726Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0., -0.],\n",
       "       [ 0.,  0.],\n",
       "       [ 0.,  0.],\n",
       "       [-0., -0.],\n",
       "       [ 0.,  0.],\n",
       "       [ 0., -0.],\n",
       "       [-0., -0.],\n",
       "       [ 0.,  0.],\n",
       "       [ 0.,  0.],\n",
       "       [ 0., -0.],\n",
       "       [ 0., -0.],\n",
       "       [-0., -0.],\n",
       "       [ 0.,  0.],\n",
       "       [ 0.,  0.],\n",
       "       [-0.,  0.],\n",
       "       [ 0.,  0.],\n",
       "       [ 0., -0.],\n",
       "       [-0.,  0.],\n",
       "       [-0., -0.],\n",
       "       [ 0., -0.],\n",
       "       [ 0.,  0.]])"
      ]
     },
     "execution_count": 112,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#重构矩阵\n",
    "m,n = data_normal.shape\n",
    "sigma = np.zeros((m,n))\n",
    "for i in range(min([m,n])):\n",
    "    sigma[i][i]=vals[i]\n",
    "np.real(data_normal-np.dot(np.dot(U,sigma),V))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## np自带的svd实现"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-28T08:11:41.895241Z",
     "start_time": "2019-09-28T08:11:41.887267Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0.0517,  0.0538,  0.0237, ..., -0.1021, -0.3141,  0.5868],\n",
       "       [-0.0971,  0.0215, -0.0533, ..., -0.0327, -0.065 , -0.7091],\n",
       "       [ 0.0001, -0.0584,  0.9966, ...,  0.0003,  0.0028, -0.0509],\n",
       "       ...,\n",
       "       [-0.1066,  0.0102,  0.0011, ...,  0.9894, -0.0319,  0.0405],\n",
       "       [-0.3134,  0.0641,  0.0051, ..., -0.0314,  0.9046,  0.1488],\n",
       "       [ 0.2501, -0.8836, -0.0528, ...,  0.0289,  0.1156,  0.1556]])"
      ]
     },
     "execution_count": 113,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "U,vals,V = np.linalg.svd(data_normal)\n",
    "U"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-28T08:11:42.347034Z",
     "start_time": "2019-09-28T08:11:42.339058Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0., -0.],\n",
       "       [ 0.,  0.],\n",
       "       [-0.,  0.],\n",
       "       [ 0., -0.],\n",
       "       [ 0.,  0.],\n",
       "       [ 0.,  0.],\n",
       "       [ 0., -0.],\n",
       "       [ 0.,  0.],\n",
       "       [ 0., -0.],\n",
       "       [ 0.,  0.],\n",
       "       [-0., -0.],\n",
       "       [-0., -0.],\n",
       "       [ 0.,  0.],\n",
       "       [ 0., -0.],\n",
       "       [ 0., -0.],\n",
       "       [ 0., -0.],\n",
       "       [ 0.,  0.],\n",
       "       [ 0.,  0.],\n",
       "       [ 0.,  0.],\n",
       "       [-0., -0.],\n",
       "       [ 0.,  0.]])"
      ]
     },
     "execution_count": 114,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#重构矩阵\n",
    "m,n = data_normal.shape\n",
    "sigma = np.zeros((m,n))\n",
    "for i in range(min([m,n])):\n",
    "    sigma[i][i]=vals[i]\n",
    "data_normal-np.dot(np.dot(U,sigma),V)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-28T08:16:28.054786Z",
     "start_time": "2019-09-28T08:16:27.796481Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(np.real(U))\n",
    "plt.title('U')\n",
    "plt.show()\n",
    "\n",
    "m,n = data_normal.shape\n",
    "sigma = np.zeros((m,n))\n",
    "for i in range(min([m,n])):\n",
    "    sigma[i][i]=vals[i]\n",
    "\n",
    "plt.imshow(sigma)\n",
    "plt.title('$\\Sigma$')\n",
    "plt.show()\n",
    "\n",
    "plt.imshow(np.real(V))\n",
    "plt.title('V')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-28T07:54:26.396308Z",
     "start_time": "2019-09-28T07:54:26.387303Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0., -0.],\n",
       "       [ 0.,  0.],\n",
       "       [-0.,  0.],\n",
       "       [ 0., -0.],\n",
       "       [ 0.,  0.],\n",
       "       [ 0.,  0.],\n",
       "       [ 0., -0.],\n",
       "       [ 0.,  0.],\n",
       "       [ 0., -0.],\n",
       "       [ 0.,  0.],\n",
       "       [-0., -0.],\n",
       "       [-0., -0.],\n",
       "       [ 0.,  0.],\n",
       "       [ 0., -0.],\n",
       "       [ 0., -0.],\n",
       "       [ 0., -0.],\n",
       "       [ 0.,  0.],\n",
       "       [ 0.,  0.],\n",
       "       [ 0.,  0.],\n",
       "       [-0., -0.],\n",
       "       [ 0.,  0.]])"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#重构矩阵\n",
    "data_normal-np.dot(np.dot(U,sigma),V)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "注意到：用我们自己的方法做SVD的时候，结果和np的SVD结果不一样，这是因为U矩阵和V矩阵的正负问题，如果两者都取负，则抵消，结果也不变\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 为什么要用SVD来做PCA"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**很巧的是，SVD中的右奇异矩阵V，就是PCA的主成分**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在PCA降维中，我们需要找到样本协方差矩阵$C$的最大$k$个特征向量，然后用这最大的$k$个特征向量组成的矩阵来做低维投影降维。  \n",
    "可以看出，在这个过程中需要先求出协方差矩阵,当样本数多、样本特征数也多的时候，这个计算量还是很大的。当我们用到SVD分解协方差矩阵的时候，SVD有两个好处：\n",
    "\n",
    "1) 有一些SVD的实现算法可以先不求出协方差矩阵$C$也能求出我们的右奇异矩阵$V$。也就是说，我们的PCA算法可以不用做特征分解而是通过SVD来完成，这个方法在样本量很大的时候很有效。实际上，scikit-learn的PCA算法的背后真正的实现就是用的SVD，而不是特征值分解。\n",
    "\n",
    "2) 注意到PCA仅仅使用了我们SVD的右奇异矩阵$V$，没有使用到左奇异值矩阵$U$，那么左奇异值矩阵$U$有什么用呢？（写下你的想法）\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PCA的缺陷\n",
    "如果加入异常值，PCA的结果会发生什么变化？"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 237,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-28T16:37:17.625251Z",
     "start_time": "2019-09-28T16:37:06.405287Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "for i in range(0,720,10):\n",
    "    \n",
    "    np.random.seed(0)\n",
    "    data = np.random.uniform(1,10,(20,2))\n",
    "    data[:,1:] = 0.5*data[:,0:1]+np.random.uniform(-2,2,(20,1))\n",
    "    \n",
    "\n",
    "\n",
    "    #如果我们在数据中加入异常值,定义一个角度放入异常值\n",
    "    i = 2*i/360*np.pi\n",
    "    data_outsider=[np.sin(i)*5*i/(2*np.pi),np.cos(i)*5*i/(2*np.pi)]\n",
    "    data = np.vstack((data,data_outsider))\n",
    "    \n",
    "    #去中心化\n",
    "    data_normal = data-data.mean(0)\n",
    "    X = data_normal[:,0]\n",
    "    Y = data_normal[:,1]\n",
    "    \n",
    "    #协方差矩阵\n",
    "    C = np.cov(data_normal.T)\n",
    "    \n",
    "    #计算特征值和特征向量\n",
    "    vals, vecs = np.linalg.eig(C)\n",
    "    \n",
    "    #重新排序，从大到小\n",
    "    vecs = vecs[:,np.argsort(-vals)]\n",
    "    vals = vals[np.argsort(-vals)]\n",
    "\n",
    "    #数据在主成分1上的投影坐标是\n",
    "    zcf1 = np.matmul(data_normal,vecs[:,0])\n",
    "    \n",
    "    #只用主成分1重构数据\n",
    "    data_ = np.matmul(zcf1.reshape(len(data),1),vecs[:,0].reshape(1,2))+data.mean(0)\n",
    "\n",
    "    import matplotlib.pyplot as plt\n",
    "    #设置图大小\n",
    "    size = 10\n",
    "    \n",
    "    #让图转起来，每次绘图都清空掉上一次绘制结果\n",
    "    import IPython\n",
    "    IPython.display.clear_output(wait=True)\n",
    "          \n",
    "    plt.figure(1,(8,8))\n",
    "\n",
    "    plt.scatter(data[:,0],data[:,1],label='origin data')\n",
    "    plt.scatter(data_[:,0],data_[:,1],label='restructured data')\n",
    "    plt.scatter(data[-1,0],data[-1,1],label='outsider')\n",
    "\n",
    "    i=0\n",
    "    \n",
    "    #绘制两个主成分的方向\n",
    "    ev = np.array([vecs[:,i]*-1,vecs[:,i]])*size\n",
    "    ev = (ev+data.mean(0))\n",
    "    plt.plot(ev[:,0],ev[:,1],label = 'eigen vector '+str(i+1))\n",
    "\n",
    "    i=1\n",
    "    ev = np.array([vecs[:,i]*-1,vecs[:,i]])*size\n",
    "    ev = (ev+data.mean(0))\n",
    "    plt.plot(ev[:,0],ev[:,1],label = 'eigen vector '+str(i+1))\n",
    "    \n",
    "    #绘制一下原始数据和重构数据的连线\n",
    "    for j in range(len(data)):\n",
    "        plt.plot([data[j,0],data_[j,0]],[data[j,1],data_[j,1]],c='black',linewidth = 0.5)\n",
    "        \n",
    "\n",
    "    #画一下x轴y轴\n",
    "    plt.plot([-size,size],[0,0],c='black')\n",
    "    plt.plot([0,0],[-size,size],c='black')\n",
    "    plt.xlim(-12.5,12.5)\n",
    "    plt.ylim(-12.5,12.5)\n",
    "    plt.title('result of PCA')\n",
    "    plt.legend()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Stable Principle Component Pursuit (SPCP)\n",
    " Stable Principle Component Pursuit (SPCP)是PCA的改进版本，它把问题变成：\n",
    "$$\\min_{L,S}{{ \\left\\Vert {L} \\right\\Vert }_*+\\lambda{ \\left\\Vert {S} \\right\\Vert }_1}$$\n",
    "$$s.t. M=L+S$$\n",
    "其中：\n",
    "$M$为原始矩阵  \n",
    "$L$为低秩矩阵，${ \\left\\Vert {L} \\right\\Vert }_*$为$L$矩阵核范数Nuclear Norm,为矩阵奇异值的和(用于表示低秩矩阵)  \n",
    "$S$为稀疏矩阵，${ \\left\\Vert {S} \\right\\Vert }_1$为矩阵L1范数（列模）:表示矩阵中非零元素的绝对值之和  \n",
    "$\\lambda=1/\\sqrt{max(m,n)}$  \n",
    "\n",
    "即，把原始矩阵分解为低秩矩阵与稀疏矩阵的和，这样子稀疏矩阵代表的就是矩阵的异常值"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "为了方便求解，引入拉格朗日乘数，把问题变成：\n",
    "$$\\min_{L,S}{{ \\left\\Vert {L} \\right\\Vert }_*+\\lambda{ \\left\\Vert {S} \\right\\Vert }_1}+\\mu{{ \\left\\Vert {N} \\right\\Vert }_F}$$\n",
    "其中:噪声矩阵$N=M-L-S$  \n",
    "建议的$\\mu$取值为$\\mu=\\sqrt{2max(m,n)}\\delta$，$\\delta={ \\left\\Vert {N} \\right\\Vert }_F$ ，这样子的取值足够大能够排除数据噪声，也足够小不会导致原始矩阵被过分缩小"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 用pytorch实现spcp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-29T13:09:52.550062Z",
     "start_time": "2019-09-29T13:09:52.542090Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(21, 2)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m,n = data.shape\n",
    "m,n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-28T16:28:36.700889Z",
     "start_time": "2019-09-28T16:28:36.696932Z"
    }
   },
   "source": [
    "spcp的代码"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-29T13:10:05.473494Z",
     "start_time": "2019-09-29T13:10:03.967562Z"
    },
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import torch\n",
    "import torch.nn as nn\n",
    "import torch.utils.data as Data\n",
    "import torchvision\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "LR = 0.01\n",
    "\n",
    "L = torch.zeros([m,n],dtype=torch.float ,requires_grad=True)\n",
    "S = torch.zeros([m,n],dtype=torch.float ,requires_grad=True)\n",
    "M =  torch.tensor(data,dtype=torch.float ,requires_grad=False)\n",
    "\n",
    "lambda1 = 1/(max(m,n)**0.5)\n",
    "mu = 1/20 * torch.norm(M,p = 'nuc')\n",
    "\n",
    "optimizer = torch.optim.Adam([L,S],lr = LR,betas = (0.9,0.99))    \n",
    "\n",
    "t = 1\n",
    "steps = []\n",
    "losses = []\n",
    "N = M-L-S\n",
    "while torch.norm(N) > mu:\n",
    "    steps.append(t)\n",
    "    \n",
    "    N = M-L-S\n",
    "    loss = torch.norm(L,p = 'nuc')+lambda1 * torch.norm(S,p =1) + mu * torch.norm(N)\n",
    "    losses.append(loss)\n",
    "    \n",
    "    \n",
    "    optimizer.zero_grad()      #初始化梯度\n",
    "    loss.backward()         #计算梯度\n",
    "    optimizer.step()   \n",
    "    '''\n",
    "    if t%10 == 0:\n",
    "        import IPython\n",
    "        IPython.display.clear_output(wait=True)\n",
    "\n",
    "        plt.plot(steps,losses,label = 'loss')\n",
    "        plt.plot(steps,losses,label = 'loss')\n",
    "        plt.show()\n",
    "    '''\n",
    "    t+=1\n",
    "dataL = L.data.numpy()\n",
    "dataS = S.data.numpy()\n",
    "dataN = N.data.numpy()\n",
    "data_ = dataL+dataS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-29T13:10:08.084437Z",
     "start_time": "2019-09-29T13:10:07.830155Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "#设置图大小\n",
    "size = 10\n",
    "\n",
    "#让图转起来，每次绘图都清空掉上一次绘制结果\n",
    "import IPython\n",
    "IPython.display.clear_output(wait=True)\n",
    "\n",
    "plt.figure(1,(8,8))\n",
    "\n",
    "plt.scatter(data[:,0],data[:,1],label='origin data')\n",
    "plt.scatter(data_[:,0],data_[:,1],label='restructured data')\n",
    "\n",
    "vals,vecs = np.linalg.eig(np.cov(dataL.T))\n",
    "vecs\n",
    "i=0\n",
    "#绘制两个主成分的方向\n",
    "ev = np.array([vecs[:,i]*-1,vecs[:,i]])*size\n",
    "ev = (ev+dataL.mean(0))\n",
    "plt.plot(ev[:,0],ev[:,1],label = 'eigen vector '+str(i+1))\n",
    "\n",
    "i=1\n",
    "ev = np.array([vecs[:,i]*-1,vecs[:,i]])*size\n",
    "ev = (ev+dataL.mean(0))\n",
    "plt.plot(ev[:,0],ev[:,1],label = 'eigen vector '+str(i+1))\n",
    "\n",
    "\n",
    "#绘制一下原始数据和重构数据的连线\n",
    "for j in range(len(data)):\n",
    "    plt.plot([data[j,0],data_[j,0]],[data[j,1],data_[j,1]],c='black',linewidth = 0.5)\n",
    "\n",
    "\n",
    "#画一下x轴y轴\n",
    "plt.plot([-size,size],[0,0],c='black')\n",
    "plt.plot([0,0],[-size,size],c='black')\n",
    "plt.xlim(-12.5,12.5)\n",
    "plt.ylim(-12.5,12.5)\n",
    "plt.title('result of PCA')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-29T13:10:10.693670Z",
     "start_time": "2019-09-29T13:10:10.430165Z"
    },
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import torch\n",
    "import torch.nn as nn\n",
    "import torch.utils.data as Data\n",
    "import torchvision\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "def spcp(data):\n",
    "    LR = 0.01\n",
    "\n",
    "    L = torch.zeros([m,n],dtype=torch.float ,requires_grad=True)\n",
    "    S = torch.zeros([m,n],dtype=torch.float ,requires_grad=True)\n",
    "    M =  torch.tensor(data,dtype=torch.float ,requires_grad=False)\n",
    "    N = M-L-S\n",
    "    lambda1 = 1/(max(m,n)**0.5)\n",
    "    mu = 1/20 * torch.norm(M,p = 'nuc')\n",
    "\n",
    "    optimizer = torch.optim.Adam([L,S],lr = LR,betas = (0.9,0.99))    \n",
    "\n",
    "    t = 1\n",
    "    steps = []\n",
    "    losses = []\n",
    "    while torch.norm(N) > mu:\n",
    "        steps.append(t)\n",
    "\n",
    "        N = M-L-S\n",
    "        loss = torch.norm(L,p = 'nuc')+lambda1 * torch.norm(S,p =1) + mu * torch.norm(N)\n",
    "        losses.append(loss)\n",
    "\n",
    "\n",
    "        optimizer.zero_grad()      #初始化梯度\n",
    "        loss.backward()         #计算梯度\n",
    "        optimizer.step()   \n",
    "        '''\n",
    "        if t%10 == 0:\n",
    "            import IPython\n",
    "            IPython.display.clear_output(wait=True)\n",
    "\n",
    "            plt.plot(steps,losses,label = 'loss')\n",
    "            plt.plot(steps,losses,label = 'loss')\n",
    "            plt.show()\n",
    "        '''\n",
    "        t+=1\n",
    "    dataL = L.data.numpy()\n",
    "    dataS = S.data.numpy()\n",
    "    dataN = N.data.numpy()\n",
    "    return dataL,dataS,dataN\n",
    "dataL,dataS,dataN = spcp(data)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-29T13:28:01.966987Z",
     "start_time": "2019-09-29T13:27:28.581703Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x504 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 观察异常值对spcp的影响\n",
    "for i in range(0,720,10):\n",
    "    import matplotlib.pyplot as plt\n",
    "    #设置图大小\n",
    "    size = 10\n",
    "\n",
    "    #让图转起来，每次绘图都清空掉上一次绘制结果\n",
    "    import IPython\n",
    "    IPython.display.clear_output(wait=True)\n",
    "\n",
    "    plt.figure(1,(15,7))\n",
    "    ax1=plt.subplot(121)\n",
    "    ax2=plt.subplot(122)\n",
    "    \n",
    "    \n",
    "    #造数据\n",
    "    np.random.seed(0)\n",
    "    data = np.random.uniform(1,10,(20,2))\n",
    "    data[:,1:] = 0.5*data[:,0:1]+np.random.uniform(-2,2,(20,1))\n",
    "    \n",
    "\n",
    "\n",
    "    #如果我们在数据中加入异常值,定义一个角度放入异常值\n",
    "    i = 2*i/360*np.pi\n",
    "    data_outsider=[np.sin(i)*5*i/(2*np.pi),np.cos(i)*5*i/(2*np.pi)]\n",
    "    data = np.vstack((data,data_outsider))\n",
    "    \n",
    "    \n",
    "    #SPCP\n",
    "    dataL,dataS,dataN = spcp(data)\n",
    "    data_ = dataL+dataS\n",
    "    \n",
    "\n",
    "    import numpy as np\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "    \n",
    "    plt.sca(ax1)\n",
    "    plt.scatter(data[:,0],data[:,1],label='origin data')\n",
    "    plt.scatter(data_[:,0],data_[:,1],label='restructured data')\n",
    "    plt.scatter(data[-1,0],data[-1,1],label='outsider')\n",
    "    \n",
    "    vals,vecs = np.linalg.eig(np.cov(dataL.T))\n",
    "    vecs\n",
    "    i=0\n",
    "    #绘制两个主成分的方向\n",
    "    ev = np.array([vecs[:,i]*-1,vecs[:,i]])*size\n",
    "    ev = (ev+dataL.mean(0))\n",
    "    plt.plot(ev[:,0],ev[:,1],label = 'eigen vector '+str(i+1))\n",
    "\n",
    "    i=1\n",
    "    ev = np.array([vecs[:,i]*-1,vecs[:,i]])*size\n",
    "    ev = (ev+dataL.mean(0))\n",
    "    plt.plot(ev[:,0],ev[:,1],label = 'eigen vector '+str(i+1))\n",
    "\n",
    "    #绘制一下原始数据和重构数据的连线\n",
    "    for j in range(len(data)):\n",
    "        plt.plot([data[j,0],data_[j,0]],[data[j,1],data_[j,1]],c='black',linewidth = 0.5)\n",
    "\n",
    "\n",
    "    #画一下x轴y轴\n",
    "    plt.plot([-size,size],[0,0],c='black')\n",
    "    plt.plot([0,0],[-size,size],c='black')\n",
    "    plt.xlim(-12.5,12.5)\n",
    "    plt.ylim(-12.5,12.5)\n",
    "    plt.title('result of spcp')\n",
    "    plt.legend()\n",
    "    \n",
    "    \n",
    "    #PCA\n",
    "    plt.sca(ax2)\n",
    "    #去中心化\n",
    "    data_normal = data-data.mean(0)\n",
    "    X = data_normal[:,0]\n",
    "    Y = data_normal[:,1]\n",
    "    \n",
    "    #协方差矩阵\n",
    "    C = np.cov(data_normal.T)\n",
    "    \n",
    "    #计算特征值和特征向量\n",
    "    vals, vecs = np.linalg.eig(C)\n",
    "    \n",
    "\n",
    "\n",
    "    #数据在主成分1上的投影坐标是\n",
    "    zcf1 = np.matmul(data_normal,vecs[:,0])\n",
    "    \n",
    "    #只用主成分1重构数据\n",
    "    data_ = np.matmul(zcf1.reshape(len(data),1),vecs[:,0].reshape(1,2))+data.mean(0)\n",
    "\n",
    "    plt.scatter(data[:,0],data[:,1],label='origin data')\n",
    "    plt.scatter(data_[:,0],data_[:,1],label='restructured data')\n",
    "    plt.scatter(data[-1,0],data[-1,1],label='outsider')\n",
    "    \n",
    "    i=0\n",
    "    #绘制两个主成分的方向\n",
    "    ev = np.array([vecs[:,i]*-1,vecs[:,i]])*size\n",
    "    ev = (ev+data.mean(0))\n",
    "    plt.plot(ev[:,0],ev[:,1],label = 'eigen vector '+str(i+1))\n",
    "\n",
    "    i=1\n",
    "    ev = np.array([vecs[:,i]*-1,vecs[:,i]])*size\n",
    "    ev = (ev+data.mean(0))\n",
    "    plt.plot(ev[:,0],ev[:,1],label = 'eigen vector '+str(i+1))\n",
    "\n",
    "    #绘制一下原始数据和重构数据的连线\n",
    "    for j in range(len(data)):\n",
    "        plt.plot([data[j,0],data_[j,0]],[data[j,1],data_[j,1]],c='black',linewidth = 0.5)\n",
    "\n",
    "\n",
    "    #画一下x轴y轴\n",
    "    plt.plot([-size,size],[0,0],c='black')\n",
    "    plt.plot([0,0],[-size,size],c='black')\n",
    "    plt.xlim(-12.5,12.5)\n",
    "    plt.ylim(-12.5,12.5)\n",
    "    plt.title('result of PCA')\n",
    "    plt.legend()\n",
    "    #\n",
    "    \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-29T13:26:04.297984Z",
     "start_time": "2019-09-29T13:26:04.290966Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([5.1212, 2.185 ])"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.mean(0)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {
    "height": "calc(100% - 180px)",
    "left": "10px",
    "top": "150px",
    "width": "320px"
   },
   "toc_section_display": true,
   "toc_window_display": true
  },
  "varInspector": {
   "cols": {
    "lenName": 16,
    "lenType": 16,
    "lenVar": 40
   },
   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
     "delete_cmd_prefix": "del ",
     "library": "var_list.py",
     "varRefreshCmd": "print(var_dic_list())"
    },
    "r": {
     "delete_cmd_postfix": ") ",
     "delete_cmd_prefix": "rm(",
     "library": "var_list.r",
     "varRefreshCmd": "cat(var_dic_list()) "
    }
   },
   "oldHeight": 122,
   "position": {
    "height": "144px",
    "left": "1550px",
    "right": "20px",
    "top": "120px",
    "width": "350px"
   },
   "types_to_exclude": [
    "module",
    "function",
    "builtin_function_or_method",
    "instance",
    "_Feature"
   ],
   "varInspector_section_display": "block",
   "window_display": true
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
